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200668320 = 2533546451
BaseRepresentation
bin10111111010111…
…11010010100000
3111222121000012000
423331133102200
5402332341240
631525004000
74654436556
oct1375372240
9458530160
10200668320
11a32aa096
1257253600
133275c568
141c917bd6
151293c430
hexbf5f4a0

200668320 has 96 divisors (see below), whose sum is σ = 702354240. Its totient is φ = 53510400.

The previous prime is 200668277. The next prime is 200668327. The reversal of 200668320 is 23866002.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200668327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18906 + ... + 27545.

It is an arithmetic number, because the mean of its divisors is an integer number (7316190).

Almost surely, 2200668320 is an apocalyptic number.

200668320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200668320 is an abundant number, since it is smaller than the sum of its proper divisors (501685920).

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

200668320 is a wasteful number, since it uses less digits than its factorization.

200668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46475 (or 46461 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 200668320 is about 14165.7445974435. The cubic root of 200668320 is about 585.4542165997.

The spelling of 200668320 in words is "two hundred million, six hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 46451 92902 139353 185804 232255 278706 371608 418059 464510 557412 696765 743216 836118 929020 1114824 1254177 1393530 1486432 1672236 1858040 2090295 2229648 2508354 2787060 3344472 3716080 4180590 4459296 5016708 5574120 6270885 6688944 7432160 8361180 10033416 11148240 12541770 13377888 16722360 20066832 22296480 25083540 33444720 40133664 50167080 66889440 100334160 200668320