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213290112 = 273779349
BaseRepresentation
bin11001011011010…
…00110010000000
3112212100021000210
430231220302000
5414100240422
633055314120
75166636030
oct1455506200
9485307023
10213290112
11aa440022
125b51b940
133525b589
14204818c0
1513ad210c
hexcb68c80

213290112 has 64 divisors (see below), whose sum is σ = 647496000. Its totient is φ = 60939264.

The previous prime is 213290101. The next prime is 213290117. The reversal of 213290112 is 211092312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (213290117) by changing a digit.

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, 36987 + ... + 42362.

It is an arithmetic number, because the mean of its divisors is an integer number (10117125).

Almost surely, 2213290112 is an apocalyptic number.

It is an amenable number.

213290112 is an abundant number, since it is smaller than the sum of its proper divisors (434205888).

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

213290112 is an equidigital number, since it uses as much as digits as its factorization.

213290112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79373 (or 79361 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 213290112 is about 14604.4552106540. The cubic root of 213290112 is about 597.4802775888.

The spelling of 213290112 in words is "two hundred thirteen million, two hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 79349 158698 238047 317396 476094 555443 634792 952188 1110886 1269584 1666329 1904376 2221772 2539168 3332658 3808752 4443544 5078336 6665316 7617504 8887088 10156672 13330632 15235008 17774176 26661264 30470016 35548352 53322528 71096704 106645056 213290112