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215050512 = 24319376373
BaseRepresentation
bin11001101000101…
…10100100010000
3112222122200211210
430310112210100
5420023104022
633201140120
75220620265
oct1464264420
9488580753
10215050512
111004326a6
126002a640
1335726931
14207bd26c
1513d2da0c
hexcd16910

215050512 has 80 divisors (see below), whose sum is σ = 600685760. Its totient is φ = 66064896.

The previous prime is 215050501. The next prime is 215050543.

215050512 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2150505122 = 92493445422924288, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 30558 + ... + 36930.

It is an arithmetic number, because the mean of its divisors is an integer number (7508572).

Almost surely, 2215050512 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 215050512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300342880).

215050512 is an abundant number, since it is smaller than the sum of its proper divisors (385635248).

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

215050512 is a wasteful number, since it uses less digits than its factorization.

215050512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 6434 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 215050512 is about 14664.6006423632. The cubic root of 215050512 is about 599.1195530985.

The spelling of 215050512 in words is "two hundred fifteen million, fifty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 444 456 592 703 888 912 1406 1776 2109 2812 4218 5624 6373 8436 11248 12746 16872 19119 25492 33744 38238 50984 76476 101968 121087 152952 235801 242174 305904 363261 471602 484348 707403 726522 943204 968696 1414806 1453044 1886408 1937392 2829612 2906088 3772816 4480219 5659224 5812176 8960438 11318448 13440657 17920876 26881314 35841752 53762628 71683504 107525256 215050512