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22813276992 = 2631179713553
BaseRepresentation
bin10101001111110001…
…101111101101000000
32011212220012112202220
4111033301233231000
5333210144330432
614251423411040
71435222440432
oct251761575500
964786175686
1022813276992
119747555730
124508153a80
1321c74a318c
141165ba4652
158d7c2972c
hex54fc6fb40

22813276992 has 112 divisors (see below), whose sum is σ = 65934896832. Its totient is φ = 6903930880.

The previous prime is 22813276987. The next prime is 22813277009. The reversal of 22813276992 is 29967231822.

It is a super-2 number, since 2×228132769922 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1676488 + ... + 1690040.

It is an arithmetic number, because the mean of its divisors is an integer number (588704436).

Almost surely, 222813276992 is an apocalyptic number.

22813276992 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 22813276992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32967448416).

22813276992 is an abundant number, since it is smaller than the sum of its proper divisors (43121619840).

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

22813276992 is a wasteful number, since it uses less digits than its factorization.

22813276992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14376 (or 14366 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The spelling of 22813276992 in words is "twenty-two billion, eight hundred thirteen million, two hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 797 1056 1594 2112 2391 3188 4782 6376 8767 9564 12752 13553 17534 19128 25504 26301 27106 35068 38256 40659 51008 52602 54212 70136 76512 81318 105204 108424 140272 149083 153024 162636 210408 216848 280544 298166 325272 420816 433696 447249 561088 596332 650544 841632 867392 894498 1192664 1301088 1683264 1788996 2385328 2602176 3577992 4770656 7155984 9541312 10801741 14311968 21603482 28623936 32405223 43206964 64810446 86413928 118819151 129620892 172827856 237638302 259241784 345655712 356457453 475276604 518483568 691311424 712914906 950553208 1036967136 1425829812 1901106416 2073934272 2851659624 3802212832 5703319248 7604425664 11406638496 22813276992