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200634144 = 2532089939
BaseRepresentation
bin10111111010101…
…10111100100000
3111222112021022020
423331112330200
5402330243034
631524141440
74654235124
oct1375267440
9458467266
10200634144
11a3286447
1257237880
1332749b39
141c909584
1512932249
hexbf56f20

200634144 has 24 divisors (see below), whose sum is σ = 526664880. Its totient is φ = 66878016.

The previous prime is 200634079. The next prime is 200634163. The reversal of 200634144 is 441436002.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2006341442 = 80508119477225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1044874 + ... + 1045065.

It is an arithmetic number, because the mean of its divisors is an integer number (21944370).

Almost surely, 2200634144 is an apocalyptic number.

200634144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200634144 is an abundant number, since it is smaller than the sum of its proper divisors (326030736).

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

200634144 is a wasteful number, since it uses less digits than its factorization.

200634144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089952 (or 2089944 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 200634144 is about 14164.5382557992. The cubic root of 200634144 is about 585.4209783033.

The spelling of 200634144 in words is "two hundred million, six hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2089939 4179878 6269817 8359756 12539634 16719512 25079268 33439024 50158536 66878048 100317072 200634144