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22522324132 = 227211172326717
BaseRepresentation
bin10100111110011011…
…110110010010100100
32011010121201121111001
4110332123312102210
5332111203333012
614202511323044
71425060411400
oct247633662244
964117647431
1022522324132
1196082a0520
124446820484
13217c122319
1411392a8100
158bc406357
hex53e6f64a4

22522324132 has 144 divisors (see below), whose sum is σ = 55263938688. Its totient is φ = 7899386880.

The previous prime is 22522324103. The next prime is 22522324141. The reversal of 22522324132 is 23142322522.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 22522324132.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 829638 + ... + 856354.

It is an arithmetic number, because the mean of its divisors is an integer number (383777352).

Almost surely, 222522324132 is an apocalyptic number.

22522324132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22522324132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27631969344).

22522324132 is an abundant number, since it is smaller than the sum of its proper divisors (32741614556).

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

22522324132 is a wasteful number, since it uses less digits than its factorization.

22522324132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26786 (or 26777 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

Adding to 22522324132 its reverse (23142322522), we get a palindrome (45664646654).

The spelling of 22522324132 in words is "twenty-two billion, five hundred twenty-two million, three hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 17 22 23 28 34 44 46 49 68 77 92 98 119 154 161 187 196 238 253 308 322 374 391 476 506 539 644 748 782 833 1012 1078 1127 1309 1564 1666 1771 2156 2254 2618 2737 3332 3542 4301 4508 5236 5474 7084 8602 9163 10948 12397 17204 18326 19159 24794 26717 30107 36652 38318 49588 53434 60214 76636 106868 120428 187019 210749 293887 374038 421498 454189 587774 614491 748076 842996 908378 1175548 1228982 1309133 1816756 2057209 2457964 2618266 3179323 4114418 4301437 4996079 5236532 6358646 6759401 8228836 8602874 9992158 10446347 12717292 13518802 14400463 17205748 19984316 20892694 22255261 27037604 28800926 30110059 34972553 41785388 44510522 47315807 57601852 60220118 69945106 73124429 89021044 94631614 114909817 120440236 139890212 146248858 189263228 229819634 244807871 292497716 331210649 459639268 489615742 511871003 662421298 804368719 979231484 1023742006 1324842596 1608737438 2047484012 3217474876 5630581033 11261162066 22522324132