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212403880 = 23513408469
BaseRepresentation
bin11001010100100…
…00011010101000
3112210200020100101
430222100122220
5413333411010
633024315144
75156255203
oct1452203250
9483606311
10212403880
11a99951a7
125b172ab4
133500b090
14202d093a
15139a973a
hexca906a8

212403880 has 32 divisors (see below), whose sum is σ = 514672200. Its totient is φ = 78425856.

The previous prime is 212403853. The next prime is 212403901. The reversal of 212403880 is 88304212.

It can be written as a sum of positive squares in 4 ways, for example, as 95374756 + 117029124 = 9766^2 + 10818^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203715 + ... + 204754.

Almost surely, 2212403880 is an apocalyptic number.

212403880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212403880 is an abundant number, since it is smaller than the sum of its proper divisors (302268320).

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

212403880 is a wasteful number, since it uses less digits than its factorization.

212403880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408493 (or 408489 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 212403880 is about 14574.0824754082. The cubic root of 212403880 is about 596.6516078025.

The spelling of 212403880 in words is "two hundred twelve million, four hundred three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 408469 816938 1633876 2042345 3267752 4084690 5310097 8169380 10620194 16338760 21240388 26550485 42480776 53100970 106201940 212403880