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214945056 = 2533248779
BaseRepresentation
bin11001100111111…
…00110100100000
3112222110100012000
430303330310200
5420011220211
633155004000
75220000654
oct1463746440
9488410160
10214945056
11100370447
125bb99600
13356ba931
1420792a64
1513d0c656
hexccfcd20

214945056 has 48 divisors (see below), whose sum is σ = 626925600. Its totient is φ = 71648064.

The previous prime is 214945033. The next prime is 214945091. The reversal of 214945056 is 650549412.

214945056 is a `hidden beast` number, since 2 + 149 + 4 + 505 + 6 = 666.

214945056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 214945056.

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, 123526 + ... + 125253.

It is an arithmetic number, because the mean of its divisors is an integer number (13060950).

Almost surely, 2214945056 is an apocalyptic number.

It is an amenable number.

214945056 is an abundant number, since it is smaller than the sum of its proper divisors (411980544).

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

214945056 is a wasteful number, since it uses less digits than its factorization.

214945056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248798 (or 248784 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 214945056 is about 14661.0046040508. The cubic root of 214945056 is about 599.0216054407.

The spelling of 214945056 in words is "two hundred fourteen million, nine hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 248779 497558 746337 995116 1492674 1990232 2239011 2985348 3980464 4478022 5970696 6717033 7960928 8956044 11941392 13434066 17912088 23882784 26868132 35824176 53736264 71648352 107472528 214945056