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200693920 = 25572937167
BaseRepresentation
bin10111111011001…
…01100010100000
3111222122022022011
423331211202200
5402334201140
631525322304
74654604320
oct1375454240
9458568264
10200693920
11a3317349
1257266394
133276b0cb
141c923280
1512944cea
hexbf658a0

200693920 has 192 divisors, whose sum is σ = 579156480. Its totient is φ = 64253952.

The previous prime is 200693887. The next prime is 200693921. The reversal of 200693920 is 29396002.

200693920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (200693921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201677 + ... + 1201843.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2200693920 is an apocalyptic number.

200693920 is a gapful number since it is divisible by the number (20) 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 200693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

200693920 is an abundant number, since it is smaller than the sum of its proper divisors (378462560).

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

200693920 is a wasteful number, since it uses less digits than its factorization.

200693920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 200693920 is about 14166.6481568507. The cubic root of 200693920 is about 585.4791117279.

The spelling of 200693920 in words is "two hundred million, six hundred ninety-three thousand, nine hundred twenty".