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212080180 = 22513815693
BaseRepresentation
bin11001010010000…
…01011000110100
3112210001210022111
430221001120310
5413243031210
633013340404
75153436364
oct1451013064
9483053274
10212080180
11a9793a84
125b037704
1334c26940
14202489a4
151394388a
hexca41634

212080180 has 24 divisors (see below), whose sum is σ = 479628072. Its totient is φ = 78306432.

The previous prime is 212080163. The next prime is 212080199. The reversal of 212080180 is 81080212.

It can be written as a sum of positive squares in 4 ways, for example, as 4892944 + 207187236 = 2212^2 + 14394^2 .

It is a congruent number.

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, 407587 + ... + 408106.

It is an arithmetic number, because the mean of its divisors is an integer number (19984503).

Almost surely, 2212080180 is an apocalyptic number.

212080180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212080180 is an abundant number, since it is smaller than the sum of its proper divisors (267547892).

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

212080180 is a wasteful number, since it uses less digits than its factorization.

212080180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815715 (or 815713 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 212080180 is about 14562.9729107762. The cubic root of 212080180 is about 596.3483579738.

The spelling of 212080180 in words is "two hundred twelve million, eighty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 815693 1631386 3262772 4078465 8156930 10604009 16313860 21208018 42416036 53020045 106040090 212080180