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200525280 = 25351133697
BaseRepresentation
bin10111111001111…
…00010111100000
3111222022201222020
423330330113200
5402313302110
631521541440
74653302544
oct1374742740
9458281866
10200525280
11a321167a
12571a4880
133270c417
141c8bba24
151290ed70
hexbf3c5e0

200525280 has 96 divisors (see below), whose sum is σ = 637416864. Its totient is φ = 52985856.

The previous prime is 200525203. The next prime is 200525309. The reversal of 200525280 is 82525002.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 200525280.

It is a congruent number.

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, 52392 + ... + 56088.

It is an arithmetic number, because the mean of its divisors is an integer number (6639759).

Almost surely, 2200525280 is an apocalyptic number.

200525280 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 200525280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318708432).

200525280 is an abundant number, since it is smaller than the sum of its proper divisors (436891584).

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

200525280 is a wasteful number, since it uses less digits than its factorization.

200525280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 200525280 is about 14160.6948982033. The cubic root of 200525280 is about 585.3150760900.

The spelling of 200525280 in words is "two hundred million, five hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1356 1695 1808 2260 2712 3390 3616 3697 4520 5424 6780 7394 9040 10848 11091 13560 14788 18080 18485 22182 27120 29576 36970 44364 54240 55455 59152 73940 88728 110910 118304 147880 177456 221820 295760 354912 417761 443640 591520 835522 887280 1253283 1671044 1774560 2088805 2506566 3342088 4177610 5013132 6266415 6684176 8355220 10026264 12532830 13368352 16710440 20052528 25065660 33420880 40105056 50131320 66841760 100262640 200525280