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215729664 = 293140449
BaseRepresentation
bin11001101101111…
…00011000000000
3120000221012110120
430312330120000
5420211322124
633223500240
75226446313
oct1466743000
9500835416
10215729664
11100856987
12602b7680
1335903ab7
142091897a
1513e14d79
hexcdbc600

215729664 has 40 divisors (see below), whose sum is σ = 574721400. Its totient is φ = 71909376.

The previous prime is 215729617. The next prime is 215729669. The reversal of 215729664 is 466927512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215729669) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68689 + ... + 71760.

It is an arithmetic number, because the mean of its divisors is an integer number (14368035).

Almost surely, 2215729664 is an apocalyptic number.

215729664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

215729664 is an abundant number, since it is smaller than the sum of its proper divisors (358991736).

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

215729664 is an equidigital number, since it uses as much as digits as its factorization.

215729664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140470 (or 140454 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 215729664 is about 14687.7385597647. The cubic root of 215729664 is about 599.7495843901.

The spelling of 215729664 in words is "two hundred fifteen million, seven hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 140449 280898 421347 561796 842694 1123592 1685388 2247184 3370776 4494368 6741552 8988736 13483104 17977472 26966208 35954944 53932416 71909888 107864832 215729664