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213014656 = 2710116477
BaseRepresentation
bin11001011001001…
…01100010000000
3112211211021011201
430230211202000
5414012432111
633045350544
75164410661
oct1454454200
9484737151
10213014656
11aa272078
125b408454
133519309a
142040d368
1513a7a6c1
hexcb25880

213014656 has 32 divisors (see below), whose sum is σ = 428592780. Its totient is φ = 105446400.

The previous prime is 213014629. The next prime is 213014663. The reversal of 213014656 is 656410312.

It can be written as a sum of positive squares in 2 ways, for example, as 203918400 + 9096256 = 14280^2 + 3016^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4690 + ... + 21166.

Almost surely, 2213014656 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 213014656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214296390).

213014656 is an abundant number, since it is smaller than the sum of its proper divisors (215578124).

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

213014656 is a wasteful number, since it uses less digits than its factorization.

213014656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16592 (or 16580 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 213014656 is about 14595.0216169761. The cubic root of 213014656 is about 597.2229591629. Note that the first 3 decimals are identical.

Adding to 213014656 its reverse (656410312), we get a palindrome (869424968).

The spelling of 213014656 in words is "two hundred thirteen million, fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 12928 16477 32954 65908 131816 263632 527264 1054528 1664177 2109056 3328354 6656708 13313416 26626832 53253664 106507328 213014656