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200856720 = 24353722619
BaseRepresentation
bin10111111100011…
…01010010010000
3111222221120121210
423332031102100
5402404403340
631533020120
74656153051
oct1376152220
9458846553
10200856720
11a3418699
1257324640
13327c723c
141c966728
1512978180
hexbf8d490

200856720 has 80 divisors (see below), whose sum is σ = 639512640. Its totient is φ = 52111872.

The previous prime is 200856701. The next prime is 200856731. The reversal of 200856720 is 27658002.

200856720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2430 + ... + 20189.

It is an arithmetic number, because the mean of its divisors is an integer number (7993908).

Almost surely, 2200856720 is an apocalyptic number.

200856720 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 200856720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319756320).

200856720 is an abundant number, since it is smaller than the sum of its proper divisors (438655920).

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

200856720 is a wasteful number, since it uses less digits than its factorization.

200856720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22672 (or 22666 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 200856720 is about 14172.3928819378. The cubic root of 200856720 is about 585.6373796648.

The spelling of 200856720 in words is "two hundred million, eight hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 22619 45238 67857 90476 113095 135714 180952 226190 271428 339285 361904 452380 542856 678570 836903 904760 1085712 1357140 1673806 1809520 2510709 2714280 3347612 4184515 5021418 5428560 6695224 8369030 10042836 12553545 13390448 16738060 20085672 25107090 33476120 40171344 50214180 66952240 100428360 200856720