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212640642 = 23282114389
BaseRepresentation
bin11001010110010…
…10001110000010
3112211010021010100
430223022032002
5413414000032
633033343230
75161262364
oct1453121602
9484107110
10212640642
11aa037075
125b267b16
1335091a86
1420352d34
1513a0497c
hexcaca382

212640642 has 24 divisors (see below), whose sum is σ = 461314620. Its totient is φ = 70788960.

The previous prime is 212640601. The next prime is 212640677. The reversal of 212640642 is 246046212.

212640642 is a `hidden beast` number, since 2 + 12 + 6 + 4 + 0 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 201611601 + 11029041 = 14199^2 + 3321^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7584 + ... + 21972.

Almost surely, 2212640642 is an apocalyptic number.

212640642 is an abundant number, since it is smaller than the sum of its proper divisors (248673978).

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

212640642 is a wasteful number, since it uses less digits than its factorization.

212640642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15218 (or 15215 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 212640642 is about 14582.2029199981. The cubic root of 212640642 is about 596.8732170191.

Adding to 212640642 its reverse (246046212), we get a palindrome (458686854).

The spelling of 212640642 in words is "two hundred twelve million, six hundred forty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 821 1642 2463 4926 7389 14389 14778 28778 43167 86334 129501 259002 11813369 23626738 35440107 70880214 106320321 212640642