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214630956 = 22325961971
BaseRepresentation
bin11001100101100…
…00001000101100
3112221212101022200
430302300020230
5414421142311
633144141500
75214222141
oct1462601054
9487771280
10214630956
11100176461
125ba67890
133560a987
14207103c8
1513c99556
hexccb022c

214630956 has 18 divisors (see below), whose sum is σ = 542539452. Its totient is φ = 71543640.

The previous prime is 214630939. The next prime is 214630961. The reversal of 214630956 is 659036412.

It is a happy number.

214630956 is a `hidden beast` number, since 2 + 14 + 630 + 9 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 5961971 = 214630956 / (2 + 1 + 4 + 6 + 3 + 0 + 9 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 214630956.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2980950 + ... + 2981021.

Almost surely, 2214630956 is an apocalyptic number.

It is an amenable number.

214630956 is an abundant number, since it is smaller than the sum of its proper divisors (327908496).

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

214630956 is a wasteful number, since it uses less digits than its factorization.

214630956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961981 (or 5961976 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 214630956 is about 14650.2885978400. The cubic root of 214630956 is about 598.7296790392.

The spelling of 214630956 in words is "two hundred fourteen million, six hundred thirty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 5961971 11923942 17885913 23847884 35771826 53657739 71543652 107315478 214630956