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212260512 = 2532976243
BaseRepresentation
bin11001010011011…
…01011010100000
3112210101221200110
430221231122200
5413314314022
633021251320
75155120212
oct1451553240
9483357613
10212260512
11a98a7512
125b103b40
1334c8aa49
14202945b2
151397c00c
hexca6d6a0

212260512 has 48 divisors (see below), whose sum is σ = 576404640. Its totient is φ = 68312832.

The previous prime is 212260493. The next prime is 212260523. The reversal of 212260512 is 215062212.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35338 + ... + 40905.

It is an arithmetic number, because the mean of its divisors is an integer number (12008430).

Almost surely, 2212260512 is an apocalyptic number.

It is an amenable number.

212260512 is an abundant number, since it is smaller than the sum of its proper divisors (364144128).

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

212260512 is a wasteful number, since it uses less digits than its factorization.

212260512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76285 (or 76277 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 212260512 is about 14569.1630507727. The cubic root of 212260512 is about 596.5173353009.

The spelling of 212260512 in words is "two hundred twelve million, two hundred sixty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 76243 152486 228729 304972 457458 609944 914916 1219888 1829832 2211047 2439776 3659664 4422094 6633141 7319328 8844188 13266282 17688376 26532564 35376752 53065128 70753504 106130256 212260512