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213188880 = 2435888287
BaseRepresentation
bin11001011010100…
…00000100010000
3112212011010011110
430231100010100
5414034021010
633053213320
75166034632
oct1455200420
9485133143
10213188880
11aa380a63
125b491240
1335224488
1420456a52
1513ab2120
hexcb50110

213188880 has 40 divisors (see below), whose sum is σ = 660886272. Its totient is φ = 56850304.

The previous prime is 213188867. The next prime is 213188893. The reversal of 213188880 is 88881312.

It is an interprime number because it is at equal distance from previous prime (213188867) and next prime (213188893).

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443904 + ... + 444383.

Almost surely, 2213188880 is an apocalyptic number.

213188880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213188880 is an abundant number, since it is smaller than the sum of its proper divisors (447697392).

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

213188880 is a wasteful number, since it uses less digits than its factorization.

213188880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888303 (or 888297 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 213188880 is about 14600.9890075981. The cubic root of 213188880 is about 597.3857370364.

The spelling of 213188880 in words is "two hundred thirteen million, one hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 888287 1776574 2664861 3553148 4441435 5329722 7106296 8882870 10659444 13324305 14212592 17765740 21318888 26648610 35531480 42637776 53297220 71062960 106594440 213188880