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200193984 = 2633115853
BaseRepresentation
bin10111110111010…
…11011111000000
3111221200220112000
423323223133000
5402222201414
631510504000
74650422634
oct1373533700
9457626460
10200193984
11a3005781
1257065000
13326246a3
141c832dc4
1512896b09
hexbeeb7c0

200193984 has 56 divisors (see below), whose sum is σ = 588538320. Its totient is φ = 66730752.

The previous prime is 200193967. The next prime is 200193991. The reversal of 200193984 is 489391002.

200193984 is digitally balanced in base 3, 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56199 + ... + 59654.

Almost surely, 2200193984 is an apocalyptic number.

200193984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200193984 is an abundant number, since it is smaller than the sum of its proper divisors (388344336).

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

200193984 is a wasteful number, since it uses less digits than its factorization.

200193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115874 (or 115858 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 200193984 is about 14148.9923316115. The cubic root of 200193984 is about 584.9925574333.

The spelling of 200193984 in words is "two hundred million, one hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 115853 231706 347559 463412 695118 926824 1042677 1390236 1853648 2085354 2780472 3128031 3707296 4170708 5560944 6256062 7414592 8341416 11121888 12512124 16682832 22243776 25024248 33365664 50048496 66731328 100096992 200193984