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214451616 = 25313731627
BaseRepresentation
bin11001100100001…
…00010110100000
3112221112021022110
430302010112200
5414344422431
633140235320
75212544241
oct1462042640
9487467273
10214451616
11100063745
125b99bb40
1335577162
14206a4cc8
1513c61346
hexcc845a0

214451616 has 48 divisors (see below), whose sum is σ = 563691744. Its totient is φ = 71387904.

The previous prime is 214451597. The next prime is 214451659. The reversal of 214451616 is 616154412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2144516162 = 91978991210022912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130995 + ... + 132621.

It is an arithmetic number, because the mean of its divisors is an integer number (11743578).

Almost surely, 2214451616 is an apocalyptic number.

It is an amenable number.

214451616 is an abundant number, since it is smaller than the sum of its proper divisors (349240128).

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

214451616 is a wasteful number, since it uses less digits than its factorization.

214451616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3005 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 214451616 is about 14644.1666201939. The cubic root of 214451616 is about 598.5628716295.

The spelling of 214451616 in words is "two hundred fourteen million, four hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1373 1627 2746 3254 4119 4881 5492 6508 8238 9762 10984 13016 16476 19524 21968 26032 32952 39048 43936 52064 65904 78096 131808 156192 2233871 4467742 6701613 8935484 13403226 17870968 26806452 35741936 53612904 71483872 107225808 214451616