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230022122232 = 23371638399873
BaseRepresentation
bin1101011000111001100…
…0110000101011111000
3210222201122012111212110
43112032120300223320
512232041130402412
6253400512212320
722422106531110
oct3261630605370
9728648174773
10230022122232
1189608544a71
12386b5b3a0a0
13188ca15b646
14b1c1448040
155eb3ebcd3c
hex358e630af8

230022122232 has 64 divisors (see below), whose sum is σ = 661238081280. Its totient is φ = 65317404672.

The previous prime is 230022122227. The next prime is 230022122237. The reversal of 230022122232 is 232221220032.

230022122232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230022122227) and next prime (230022122237).

It is a super-2 number, since 2×2300221222322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 230022122199 and 230022122208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230022122237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4172553 + ... + 4227320.

It is an arithmetic number, because the mean of its divisors is an integer number (10331845020).

Almost surely, 2230022122232 is an apocalyptic number.

It is an amenable number.

230022122232 is an abundant number, since it is smaller than the sum of its proper divisors (431215959048).

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

230022122232 is a wasteful number, since it uses less digits than its factorization.

230022122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8400052 (or 8400048 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 230022122232 its reverse (232221220032), we get a palindrome (462243342264).

The spelling of 230022122232 in words is "two hundred thirty billion, twenty-two million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 163 168 326 489 652 978 1141 1304 1956 2282 3423 3912 4564 6846 9128 13692 27384 8399873 16799746 25199619 33599492 50399238 58799111 67198984 100798476 117598222 176397333 201596952 235196444 352794666 470392888 705589332 1369179299 1411178664 2738358598 4107537897 5476717196 8215075794 9584255093 10953434392 16430151588 19168510186 28752765279 32860303176 38337020372 57505530558 76674040744 115011061116 230022122232