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214285608 = 23331317573
BaseRepresentation
bin11001100010110…
…11110100101000
3112221012211121000
430301123310220
5414324114413
633132515000
75211253245
oct1461336450
9487184530
10214285608
11aaa5aa49
125b91ba60
1335519724
14206605cc
1513c2c073
hexcc5bd28

214285608 has 64 divisors (see below), whose sum is σ = 599860800. Its totient is φ = 70873920.

The previous prime is 214285571. The next prime is 214285633. The reversal of 214285608 is 806582412.

214285608 is a `hidden beast` number, since 2 + 1 + 42 + 8 + 5 + 608 = 666.

214285608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24510 + ... + 32082.

It is an arithmetic number, because the mean of its divisors is an integer number (9372825).

Almost surely, 2214285608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214285608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299930400).

214285608 is an abundant number, since it is smaller than the sum of its proper divisors (385575192).

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

214285608 is a wasteful number, since it uses less digits than its factorization.

214285608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7719 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 214285608 is about 14638.4974638793. The cubic root of 214285608 is about 598.4083816517.

The spelling of 214285608 in words is "two hundred fourteen million, two hundred eighty-five thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 216 262 393 524 786 1048 1179 1572 2358 3144 3537 4716 7074 7573 9432 14148 15146 22719 28296 30292 45438 60584 68157 90876 136314 181752 204471 272628 408942 545256 817884 992063 1635768 1984126 2976189 3968252 5952378 7936504 8928567 11904756 17857134 23809512 26785701 35714268 53571402 71428536 107142804 214285608