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200085993 = 32232933331
BaseRepresentation
bin10111110110100…
…01000111101001
3111221111102101100
423323101013221
5402210222433
631504312013
74646463042
oct1373210751
9457442340
10200085993
11a2a41628
1257012609
13325b74a3
141c8058c9
1512874b13
hexbed11e9

200085993 has 24 divisors (see below), whose sum is σ = 311987520. Its totient is φ = 123187680.

The previous prime is 200085989. The next prime is 200086001. The reversal of 200085993 is 399580002.

It is not a de Polignac number, because 200085993 - 22 = 200085989 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (200085293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10663 + ... + 22668.

It is an arithmetic number, because the mean of its divisors is an integer number (12999480).

Almost surely, 2200085993 is an apocalyptic number.

200085993 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

200085993 is a deficient number, since it is larger than the sum of its proper divisors (111901527).

200085993 is a wasteful number, since it uses less digits than its factorization.

200085993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33389 (or 33386 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 200085993 is about 14145.1756086660. The cubic root of 200085993 is about 584.8873506521.

The spelling of 200085993 in words is "two hundred million, eighty-five thousand, nine hundred ninety-three".

Divisors: 1 3 9 23 29 69 87 207 261 667 2001 6003 33331 99993 299979 766613 966599 2299839 2899797 6899517 8699391 22231777 66695331 200085993