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22330211130 = 23251913739511
BaseRepresentation
bin10100110010111110…
…111111101100111010
32010122020020020222200
4110302332333230322
5331213013224010
614131445531030
71420235443233
oct246276775472
963566206880
1022330211130
119519905147
1243b2413a76
13214b399ba6
14111b97a08a
158aa608cc0
hex532fbfb3a

22330211130 has 96 divisors (see below), whose sum is σ = 61165203840. Its totient is φ = 5636615040.

The previous prime is 22330211083. The next prime is 22330211159. The reversal of 22330211130 is 3111203322.

22330211130 is a `hidden beast` number, since 223 + 302 + 11 + 130 = 666.

It is a super-2 number, since 2×223302111302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2343075 + ... + 2352585.

It is an arithmetic number, because the mean of its divisors is an integer number (637137540).

Almost surely, 222330211130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22330211130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30582601920).

22330211130 is an abundant number, since it is smaller than the sum of its proper divisors (38834992710).

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

22330211130 is a wasteful number, since it uses less digits than its factorization.

22330211130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10916 (or 10913 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22330211130 its reverse (3111203322), we get a palindrome (25441414452).

It can be divided in two parts, 223302 and 11130, that added together give a palindrome (234432).

The spelling of 22330211130 in words is "twenty-two billion, three hundred thirty million, two hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1373 1710 2746 4119 6865 8238 9511 12357 13730 19022 20595 24714 26087 28533 41190 47555 52174 57066 61785 78261 85599 95110 123570 130435 142665 156522 171198 180709 234783 260870 285330 361418 391305 427995 469566 542127 782610 855990 903545 1084254 1173915 1626381 1807090 2347830 2710635 3252762 5421270 8131905 13058603 16263810 26117206 39175809 65293015 78351618 117527427 130586030 195879045 235054854 248113457 391758090 496226914 587637135 744340371 1175274270 1240567285 1488680742 2233021113 2481134570 3721701855 4466042226 7443403710 11165105565 22330211130