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200554144 = 2575091759
BaseRepresentation
bin10111111010000…
…11011010100000
3111222101012120021
423331003122200
5402320213034
631522323224
74653452650
oct1375033240
9458335507
10200554144
11a323132a
12571b9514
133271c5bb
141c8c8360
15129186b4
hexbf436a0

200554144 has 48 divisors (see below), whose sum is σ = 452390400. Its totient is φ = 85734144.

The previous prime is 200554099. The next prime is 200554183. The reversal of 200554144 is 441455002.

It is a happy number.

200554144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2005541443 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113137 + ... + 114895.

It is an arithmetic number, because the mean of its divisors is an integer number (9424800).

Almost surely, 2200554144 is an apocalyptic number.

It is an amenable number.

200554144 is an abundant number, since it is smaller than the sum of its proper divisors (251836256).

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

200554144 is a wasteful number, since it uses less digits than its factorization.

200554144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 200554144 is about 14161.7140205556. The cubic root of 200554144 is about 585.3431585406.

The spelling of 200554144 in words is "two hundred million, five hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 509 1018 1759 2036 3518 3563 4072 7036 7126 8144 12313 14072 14252 16288 24626 28144 28504 49252 56288 57008 98504 114016 197008 394016 895331 1790662 3581324 6267317 7162648 12534634 14325296 25069268 28650592 50138536 100277072 200554144