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212262920 = 2356186993
BaseRepresentation
bin11001010011011…
…10000000001000
3112210102001222122
430221232000020
5413314403140
633021310412
75155130222
oct1451560010
9483361878
10212262920
11a98a9301
125b105408
1334c8bb7c
1420295412
151397cab5
hexca6e008

212262920 has 32 divisors (see below), whose sum is σ = 485426520. Its totient is φ = 83512320.

The previous prime is 212262899. The next prime is 212262923. The reversal of 212262920 is 29262212.

It can be written as a sum of positive squares in 4 ways, for example, as 143472484 + 68790436 = 11978^2 + 8294^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212262920.

It is not an unprimeable number, because it can be changed into a prime (212262923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41057 + ... + 45936.

Almost surely, 2212262920 is an apocalyptic number.

212262920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212262920 is an abundant number, since it is smaller than the sum of its proper divisors (273163600).

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

212262920 is a wasteful number, since it uses less digits than its factorization.

212262920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87065 (or 87061 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 212262920 is about 14569.2456908379. The cubic root of 212262920 is about 596.5195910326.

The spelling of 212262920 in words is "two hundred twelve million, two hundred sixty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 86993 173986 347972 434965 695944 869930 1739860 3479720 5306573 10613146 21226292 26532865 42452584 53065730 106131460 212262920