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213714880 = 265667859
BaseRepresentation
bin11001011110100…
…00011111000000
3112220010211200221
430233100133000
5414202334010
633112352424
75203355311
oct1457203700
9486124627
10213714880
11aa700175
125b6a5714
1335379a12
1420552608
1513b67dda
hexcbd07c0

213714880 has 28 divisors (see below), whose sum is σ = 508909320. Its totient is φ = 85485824.

The previous prime is 213714877. The next prime is 213714881. The reversal of 213714880 is 88417312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213714881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 333610 + ... + 334249.

Almost surely, 2213714880 is an apocalyptic number.

213714880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213714880 is an abundant number, since it is smaller than the sum of its proper divisors (295194440).

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

213714880 is an equidigital number, since it uses as much as digits as its factorization.

213714880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667876 (or 667866 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 213714880 is about 14618.9903892163. The cubic root of 213714880 is about 597.8766426014.

The spelling of 213714880 in words is "two hundred thirteen million, seven hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 667859 1335718 2671436 3339295 5342872 6678590 10685744 13357180 21371488 26714360 42742976 53428720 106857440 213714880