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213868044 = 2232131493067
BaseRepresentation
bin11001011111101…
…01111000001100
3112220102121210200
430233311320030
5414222234134
633115533500
75204563665
oct1457657014
9486377720
10213868044
11aa7a5255
125b75a290
1335401650
142059236c
1513b98499
hexcbf5e0c

213868044 has 72 divisors (see below), whose sum is σ = 586294800. Its totient is φ = 65342592.

The previous prime is 213868033. The next prime is 213868073. The reversal of 213868044 is 440868312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68199 + ... + 71265.

Almost surely, 2213868044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213868044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293147400).

213868044 is an abundant number, since it is smaller than the sum of its proper divisors (372426756).

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

213868044 is a wasteful number, since it uses less digits than its factorization.

213868044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 213868044 is about 14624.2279796234. The cubic root of 213868044 is about 598.0194361382.

The spelling of 213868044 in words is "two hundred thirteen million, eight hundred sixty-eight thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 149 156 234 298 447 468 596 894 1341 1788 1937 2682 3067 3874 5364 5811 6134 7748 9201 11622 12268 17433 18402 23244 27603 34866 36804 39871 55206 69732 79742 110412 119613 159484 239226 358839 456983 478452 717678 913966 1370949 1435356 1827932 2741898 4112847 5483796 5940779 8225694 11881558 16451388 17822337 23763116 35644674 53467011 71289348 106934022 213868044