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22131412430 = 25173143127769
BaseRepresentation
bin10100100111001000…
…101000110111001110
32010010101011020102212
4110213020220313032
5330311120144210
614100024550422
71412302621211
oct244710506716
963111136385
1022131412430
1194276727a6
124357922412
13211914361a
1410dd3cb778
15897e3a805
hex527228dce

22131412430 has 128 divisors (see below), whose sum is σ = 44962283520. Its totient is φ = 7803371520.

The previous prime is 22131412423. The next prime is 22131412441. The reversal of 22131412430 is 3421413122.

It is a super-2 number, since 2×221314124302 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22131412396 and 22131412405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28779086 + ... + 28779854.

It is an arithmetic number, because the mean of its divisors is an integer number (351267840).

Almost surely, 222131412430 is an apocalyptic number.

22131412430 is an abundant number, since it is smaller than the sum of its proper divisors (22830871090).

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

22131412430 is a wasteful number, since it uses less digits than its factorization.

22131412430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 22131412430 its reverse (3421413122), we get a palindrome (25552825552).

The spelling of 22131412430 in words is "twenty-two billion, one hundred thirty-one million, four hundred twelve thousand, four hundred thirty".

Divisors: 1 2 5 10 17 31 34 43 62 85 86 127 155 170 215 254 310 430 527 635 731 769 1054 1270 1333 1462 1538 2159 2635 2666 3655 3845 3937 4318 5270 5461 6665 7310 7690 7874 10795 10922 13073 13330 19685 21590 22661 23839 26146 27305 33067 39370 45322 47678 54610 65365 66134 66929 92837 97663 113305 119195 130730 133858 165335 169291 185674 195326 226610 238390 330670 334645 338582 405263 464185 488315 562139 669290 810526 846455 928370 976630 1025077 1124278 1660271 1692910 2026315 2050154 2810695 2877947 3027553 3320542 4052630 4199509 5125385 5621390 5755894 6055106 8301355 8399018 10250770 14389735 15137765 16602710 17426309 20997545 28779470 30275530 34852618 41995090 51468401 71391653 87131545 102936802 130184779 142783306 174263090 257342005 260369558 356958265 514684010 650923895 713916530 1301847790 2213141243 4426282486 11065706215 22131412430