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22954068036 = 22341924432
BaseRepresentation
bin10101011000001010…
…110100100001000100
32012020201010110210000
4111120022310201010
5334002220134121
614313413201300
71441552234104
oct253012644104
965221113700
1022954068036
119809a78069
124547330230
13221a6c95a3
14117a773204
158e528a526
hex5582b4844

22954068036 has 135 divisors (see below), whose sum is σ = 63474207951. Its totient is φ = 7232290416.

The previous prime is 22954068031. The next prime is 22954068061. The reversal of 22954068036 is 63086045922.

The square root of 22954068036 is 151506.

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

22954068036 is a `hidden beast` number, since 2 + 29 + 540 + 6 + 80 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22954067982 and 22954068000.

It is not an unprimeable number, because it can be changed into a prime (22954068031) 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 44 ways as a sum of consecutive naturals, for example, 51814831 + ... + 51815273.

Almost surely, 222954068036 is an apocalyptic number.

22954068036 is the 151506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22954068036

22954068036 is an abundant number, since it is smaller than the sum of its proper divisors (40520139915).

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

22954068036 is an equidigital number, since it uses as much as digits as its factorization.

22954068036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 22954068036 in words is "twenty-two billion, nine hundred fifty-four million, sixty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 443 513 684 722 886 1026 1083 1329 1444 1539 1772 2052 2166 2658 3078 3249 3987 4332 5316 6156 6498 7974 8417 9747 11961 12996 15948 16834 19494 23922 25251 29241 33668 35883 38988 47844 50502 58482 71766 75753 101004 116964 143532 151506 159923 196249 227259 303012 319846 392498 454518 479769 588747 639692 681777 784996 909036 959538 1177494 1363554 1439307 1766241 1919076 2354988 2727108 2878614 3532482 3728731 4317921 5298723 5757228 7064964 7457462 8635842 10597446 11186193 12953763 14914924 15896169 17271684 21194892 22372386 25907526 31792338 33558579 44744772 51815052 63584676 67117158 70845889 100675737 134234316 141691778 201351474 212537667 283383556 302027211 402702948 425075334 604054422 637613001 850150668 1208108844 1275226002 1912839003 2550452004 3825678006 5738517009 7651356012 11477034018 22954068036