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212046864 = 24316072749
BaseRepresentation
bin11001010001110…
…01010000010000
3112210000002121120
430220321100100
5413240444424
633012522240
75153240301
oct1450712020
9483002546
10212046864
11a9770a47
125b020380
1334c14723
142023a7a8
1513938a79
hexca39410

212046864 has 40 divisors (see below), whose sum is σ = 548328000. Its totient is φ = 70612608.

The previous prime is 212046853. The next prime is 212046871. The reversal of 212046864 is 468640212.

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, 75762 + ... + 78510.

It is an arithmetic number, because the mean of its divisors is an integer number (13708200).

Almost surely, 2212046864 is an apocalyptic number.

212046864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212046864 is an abundant number, since it is smaller than the sum of its proper divisors (336281136).

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

212046864 is a wasteful number, since it uses less digits than its factorization.

212046864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 212046864 is about 14561.8290060006. The cubic root of 212046864 is about 596.3171292465.

It can be divided in two parts, 2120 and 46864, that added together give a palindrome (48984).

The spelling of 212046864 in words is "two hundred twelve million, forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1607 2749 3214 4821 5498 6428 8247 9642 10996 12856 16494 19284 21992 25712 32988 38568 43984 65976 77136 131952 4417643 8835286 13252929 17670572 26505858 35341144 53011716 70682288 106023432 212046864