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213820932 = 223136532099
BaseRepresentation
bin11001011111010…
…10011000000100
3112220100020011210
430233222120010
5414214232212
633114531420
75204306433
oct1457523004
9486306153
10213820932
11aa772916
125b736b70
13353b6080
142057d11a
1513b8953c
hexcbea604

213820932 has 48 divisors (see below), whose sum is σ = 538372800. Its totient is φ = 65659008.

The previous prime is 213820909. The next prime is 213820963. The reversal of 213820932 is 239028312.

It is a happy number.

It is a super-2 number, since 2×2138209322 = 91438781922697248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213820932.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 100819 + ... + 102917.

It is an arithmetic number, because the mean of its divisors is an integer number (11216100).

Almost surely, 2213820932 is an apocalyptic number.

It is an amenable number.

213820932 is an abundant number, since it is smaller than the sum of its proper divisors (324551868).

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

213820932 is a wasteful number, since it uses less digits than its factorization.

213820932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 213820932 is about 14622.6171392128. The cubic root of 213820932 is about 597.9755212703.

The spelling of 213820932 in words is "two hundred thirteen million, eight hundred twenty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 653 1306 1959 2099 2612 3918 4198 6297 7836 8396 8489 12594 16978 25188 25467 27287 33956 50934 54574 81861 101868 109148 163722 327444 1370647 2741294 4111941 5482588 8223882 16447764 17818411 35636822 53455233 71273644 106910466 213820932