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200558080 = 295157499
BaseRepresentation
bin10111111010001…
…00011000000000
3111222101101222001
423331010120000
5402320324310
631522353344
74653500302
oct1375043000
9458341861
10200558080
11a3234288
12571bb854
1332721328
141c8c9972
151291993a
hexbf44600

200558080 has 80 divisors (see below), whose sum is σ = 484902000. Its totient is φ = 79552512.

The previous prime is 200558069. The next prime is 200558081. The reversal of 200558080 is 80855002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200558081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401671 + ... + 402169.

It is an arithmetic number, because the mean of its divisors is an integer number (6061275).

Almost surely, 2200558080 is an apocalyptic number.

200558080 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 200558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242451000).

200558080 is an abundant number, since it is smaller than the sum of its proper divisors (284343920).

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

200558080 is an equidigital number, since it uses as much as digits as its factorization.

200558080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 200558080 is about 14161.8529861032. The cubic root of 200558080 is about 585.3469877569.

The spelling of 200558080 in words is "two hundred million, five hundred fifty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 256 314 320 499 512 628 640 785 998 1256 1280 1570 1996 2495 2512 2560 3140 3992 4990 5024 6280 7984 9980 10048 12560 15968 19960 20096 25120 31936 39920 40192 50240 63872 78343 79840 80384 100480 127744 156686 159680 200960 255488 313372 319360 391715 401920 626744 638720 783430 1253488 1277440 1566860 2506976 3133720 5013952 6267440 10027904 12534880 20055808 25069760 40111616 50139520 100279040 200558080