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22682016 = 2532711251
BaseRepresentation
bin101011010000…
…1100110100000
31120200100212200
41112201212200
521301311031
62130053200
7363536220
oct126414640
946610780
1022682016
1111892375
12771a200
134912116
143026080
151ed08e6
hex15a19a0

22682016 has 72 divisors (see below), whose sum is σ = 73723104. Its totient is φ = 6480000.

The previous prime is 22682003. The next prime is 22682021. The reversal of 22682016 is 61028622.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3610 + ... + 7641.

It is an arithmetic number, because the mean of its divisors is an integer number (1023932).

Almost surely, 222682016 is an apocalyptic number.

It is an amenable number.

22682016 is an abundant number, since it is smaller than the sum of its proper divisors (51041088).

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

22682016 is a wasteful number, since it uses less digits than its factorization.

22682016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11274 (or 11263 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22682016 is about 4762.5640153178. The cubic root of 22682016 is about 283.0700255820.

The spelling of 22682016 in words is "twenty-two million, six hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 11251 22502 33753 45004 67506 78757 90008 101259 135012 157514 180016 202518 236271 270024 315028 360032 405036 472542 540048 630056 708813 810072 945084 1080096 1260112 1417626 1620144 1890168 2520224 2835252 3240288 3780336 5670504 7560672 11341008 22682016