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212652680 = 23534915233
BaseRepresentation
bin11001010110011…
…01001010001000
3112211010212122012
430223031022020
5413414341210
633033515052
75161342442
oct1453151210
9484125565
10212652680
11aa045119
125b272a88
13350973b6
1420357492
1513a08305
hexcacd288

212652680 has 32 divisors (see below), whose sum is σ = 479871000. Its totient is φ = 84811776.

The previous prime is 212652647. The next prime is 212652689. The reversal of 212652680 is 86256212.

It can be written as a sum of positive squares in 4 ways, for example, as 157803844 + 54848836 = 12562^2 + 7406^2 .

It is a super-2 number, since 2×2126526802 = 90442324622364800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212652689) 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, 6344 + ... + 21576.

Almost surely, 2212652680 is an apocalyptic number.

212652680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212652680 is an abundant number, since it is smaller than the sum of its proper divisors (267218320).

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

212652680 is a wasteful number, since it uses less digits than its factorization.

212652680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15593 (or 15589 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 212652680 is about 14582.6156775799. The cubic root of 212652680 is about 596.8844801908.

The spelling of 212652680 in words is "two hundred twelve million, six hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 349 698 1396 1745 2792 3490 6980 13960 15233 30466 60932 76165 121864 152330 304660 609320 5316317 10632634 21265268 26581585 42530536 53163170 106326340 212652680