Search a number
-
+
2253163110 = 23511103151439
BaseRepresentation
bin1000011001001100…
…1000101001100110
312211000201112201120
42012103020221212
514103302204420
61011325034410
7106556366442
oct20623105146
95730645646
102253163110
11a56940880
1252a6b5a06
1329ba56713
14175359822
15d2c1dd40
hex864c8a66

2253163110 has 128 divisors (see below), whose sum is σ = 6009569280. Its totient is φ = 536112000.

The previous prime is 2253163067. The next prime is 2253163117. The reversal of 2253163110 is 113613522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253163117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5132271 + ... + 5132709.

It is an arithmetic number, because the mean of its divisors is an integer number (46949760).

Almost surely, 22253163110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253163110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004784640).

2253163110 is an abundant number, since it is smaller than the sum of its proper divisors (3756406170).

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

2253163110 is a wasteful number, since it uses less digits than its factorization.

2253163110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2253163110 is about 47467.4952994152. The cubic root of 2253163110 is about 1310.9844609355.

Adding to 2253163110 its reverse (113613522), we get a palindrome (2366776632).

The spelling of 2253163110 in words is "two billion, two hundred fifty-three million, one hundred sixty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 103 110 151 165 206 302 309 330 439 453 515 618 755 878 906 1030 1133 1317 1510 1545 1661 2195 2265 2266 2634 3090 3322 3399 4390 4530 4829 4983 5665 6585 6798 8305 9658 9966 11330 13170 14487 15553 16610 16995 24145 24915 28974 31106 33990 45217 46659 48290 49830 66289 72435 77765 90434 93318 132578 135651 144870 155530 171083 198867 226085 233295 271302 331445 342166 397734 452170 466590 497387 513249 662890 678255 729179 855415 994335 994774 1026498 1356510 1458358 1492161 1710830 1988670 2187537 2486935 2566245 2984322 3645895 4375074 4973870 5132490 6827767 7291790 7460805 10937685 13655534 14921610 20483301 21875370 34138835 40966602 68277670 75105437 102416505 150210874 204833010 225316311 375527185 450632622 751054370 1126581555 2253163110