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233152331445150 = 235213258603156943
BaseRepresentation
bin110101000000110100000001…
…111001001111001110011110
31010120112010220212002021212120
4311000310001321033032132
5221024431433322221100
62143512411415443410
7100052462060131425
oct6500640171171636
91116463825067776
10233152331445150
11683203919174a7
1222196598086566
13a01322a812300
1441808c11502bc
151be4c61bc00a0
hexd40d01e4f39e

233152331445150 has 144 divisors (see below), whose sum is σ = 626132153477376. Its totient is φ = 57389998124160.

The previous prime is 233152331445149. The next prime is 233152331445151. The reversal of 233152331445150 is 51544133251332.

It is an interprime number because it is at equal distance from previous prime (233152331445149) and next prime (233152331445151).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233152331445151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1485507579 + ... + 1485664521.

It is an arithmetic number, because the mean of its divisors is an integer number (4348139954704).

Almost surely, 2233152331445150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233152331445150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313066076738688).

233152331445150 is an abundant number, since it is smaller than the sum of its proper divisors (392979822032226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233152331445150 is a wasteful number, since it uses less digits than its factorization.

233152331445150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215587 (or 215569 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 233152331445150 its reverse (51544133251332), we get a palindrome (284696464696482).

The spelling of 233152331445150 in words is "two hundred thirty-three trillion, one hundred fifty-two billion, three hundred thirty-one million, four hundred forty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 169 195 325 338 390 507 650 845 975 1014 1690 1950 2535 4225 5070 8450 12675 25350 58603 117206 156943 175809 293015 313886 351618 470829 586030 761839 784715 879045 941658 1465075 1523678 1569430 1758090 2040259 2285517 2354145 2930150 3809195 3923575 4080518 4395225 4571034 4708290 6120777 7618390 7847150 8790450 9903907 10201295 11427585 11770725 12241554 19045975 19807814 20402590 22855170 23541450 26523367 29711721 30603885 38091950 49519535 51006475 53046734 57137925 59423442 61207770 79570101 99039070 102012950 114275850 132616835 148558605 153019425 159140202 247597675 265233670 297117210 306038850 397850505 495195350 663084175 742793025 795701010 1326168350 1485586050 1989252525 3978505050 9197330629 18394661258 27591991887 45986653145 55183983774 91973306290 119565298177 137959959435 229933265725 239130596354 275919918870 358695894531 459866531450 597826490885 689799797175 717391789062 1195652981770 1379599594350 1554348876301 1793479472655 2989132454425 3108697752602 3586958945310 4663046628903 5978264908850 7771744381505 8967397363275 9326093257806 15543488763010 17934794726550 23315233144515 38858721907525 46630466289030 77717443815050 116576165722575 233152331445150