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200553100 = 225211237927
BaseRepresentation
bin10111111010000…
…11001010001100
3111222101011010121
423331003022030
5402320144400
631522314324
74653446626
oct1375031214
9458334117
10200553100
11a3230570
12571b89a4
133271bc97
141c8c7c16
151291821a
hexbf4328c

200553100 has 72 divisors (see below), whose sum is σ = 495468288. Its totient is φ = 69748800.

The previous prime is 200553091. The next prime is 200553107. The reversal of 200553100 is 1355002.

200553100 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-2 number, since 2×2005531002 = 80443091839220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200553107) 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, 21337 + ... + 29263.

It is an arithmetic number, because the mean of its divisors is an integer number (6881504).

Almost surely, 2200553100 is an apocalyptic number.

200553100 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 200553100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247734144).

200553100 is an abundant number, since it is smaller than the sum of its proper divisors (294915188).

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

200553100 is a wasteful number, since it uses less digits than its factorization.

200553100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7975 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 200553100 is about 14161.6771605626. The cubic root of 200553100 is about 585.3421428559.

The spelling of 200553100 in words is "two hundred million, five hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 7927 12650 15854 25300 31708 39635 79270 87197 158540 174394 182321 198175 348788 364642 396350 435985 729284 792700 871970 911605 1743940 1823210 2005531 2179925 3646420 4011062 4359850 4558025 8022124 8719700 9116050 10027655 18232100 20055310 40110620 50138275 100276550 200553100