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200355012 = 2233111312973
BaseRepresentation
bin10111111000100…
…10110011000100
3111222000002102000
423330102303010
5402242330022
631514145300
74651663254
oct1374226304
9458002360
10200355012
11a3105760
1257122230
133267ca80
141c875964
15128c96ac
hexbf12cc4

200355012 has 96 divisors (see below), whose sum is σ = 610296960. Its totient is φ = 56039040.

The previous prime is 200354941. The next prime is 200355059. The reversal of 200355012 is 210553002.

It is a happy number.

200355012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8958 + ... + 21930.

It is an arithmetic number, because the mean of its divisors is an integer number (6357260).

Almost surely, 2200355012 is an apocalyptic number.

200355012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200355012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305148480).

200355012 is an abundant number, since it is smaller than the sum of its proper divisors (409941948).

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

200355012 is a wasteful number, since it uses less digits than its factorization.

200355012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13010 (or 13002 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 200355012 is about 14154.6816283518. The cubic root of 200355012 is about 585.1493635703.

The spelling of 200355012 in words is "two hundred million, three hundred fifty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 7722 12973 15444 25946 38919 51892 77838 116757 142703 155676 168649 233514 285406 337298 350271 428109 467028 505947 570812 674596 700542 856218 1011894 1284327 1401084 1517841 1712436 1855139 2023788 2568654 3035682 3710278 3852981 4553523 5137308 5565417 6071364 7420556 7705962 9107046 11130834 15411924 16696251 18214092 22261668 33392502 50088753 66785004 100177506 200355012