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22712680 = 23517127263
BaseRepresentation
bin101011010100…
…1000101101000
31120201220221101
41112221011220
521303301210
62130451144
7364024504
oct126510550
946656841
1022712680
1111903411
127733ab4
134923073
143033304
151ed9a3a
hex15a9168

22712680 has 64 divisors (see below), whose sum is σ = 54743040. Its totient is φ = 8451072.

The previous prime is 22712671. The next prime is 22712681. The reversal of 22712680 is 8621722.

It is not an unprimeable number, because it can be changed into a prime (22712681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86229 + ... + 86491.

It is an arithmetic number, because the mean of its divisors is an integer number (855360).

Almost surely, 222712680 is an apocalyptic number.

22712680 is a gapful number since it is divisible by the number (20) 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 22712680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27371520).

22712680 is an abundant number, since it is smaller than the sum of its proper divisors (32030360).

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

22712680 is a wasteful number, since it uses less digits than its factorization.

22712680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 22712680 is about 4765.7822023252. The cubic root of 22712680 is about 283.1975296900.

The spelling of 22712680 in words is "twenty-two million, seven hundred twelve thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 127 136 170 254 263 340 508 526 635 680 1016 1052 1270 1315 2104 2159 2540 2630 4318 4471 5080 5260 8636 8942 10520 10795 17272 17884 21590 22355 33401 35768 43180 44710 66802 86360 89420 133604 167005 178840 267208 334010 567817 668020 1135634 1336040 2271268 2839085 4542536 5678170 11356340 22712680