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22806436324 = 2274232672
BaseRepresentation
bin10101001111010111…
…101001100111100100
32011212102100000010211
4111033113221213210
5333201421430244
614251021025204
71435110340000
oct251727514744
964772300124
1022806436324
119743703191
1245059b5204
1321c5c49649
141164d03700
158d7327934
hex54f5e99e4

22806436324 has 135 divisors (see below), whose sum is σ = 49410051747. Its totient is φ = 9209681712.

The previous prime is 22806436321. The next prime is 22806436379. The reversal of 22806436324 is 42363460822.

The square root of 22806436324 is 151018.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (22806436321) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 340394539 + ... + 340394605.

Almost surely, 222806436324 is an apocalyptic number.

22806436324 is the 151018-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22806436324

22806436324 is an abundant number, since it is smaller than the sum of its proper divisors (26603615423).

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

22806436324 is an frugal number, since it uses more digits than its factorization.

22806436324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 22806436324 in words is "twenty-two billion, eight hundred six million, four hundred thirty-six thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 49 67 92 98 134 161 196 268 322 343 469 529 644 686 938 1058 1127 1372 1541 1876 2116 2254 2401 3082 3283 3703 4489 4508 4802 6164 6566 7406 7889 8978 9604 10787 13132 14812 15778 17956 21574 22981 25921 31423 31556 35443 43148 45962 51842 55223 62846 70886 75509 91924 103247 103684 110446 125692 141772 151018 160867 181447 206494 219961 220892 248101 302036 321734 362894 412988 439922 496202 528563 643468 722729 725788 879844 992404 1057126 1270129 1445458 1539727 1736707 2114252 2374681 2540258 2890916 3079454 3473414 3699941 4749362 5059103 5080516 6158908 6946828 7399882 9498724 10118206 10778089 12156949 14799764 16622767 20236412 21556178 24313898 33245534 35413721 43112356 48627796 66491068 70827442 85098643 116359369 141654884 170197286 232718738 247896047 340394572 465437476 495792094 814515583 991584188 1629031166 3258062332 5701609081 11403218162 22806436324