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200484816 = 2437607983
BaseRepresentation
bin10111111001100…
…10011111010000
3111222020200110120
423330302133100
5402311003231
631521030240
74653043560
oct1374623720
9458220416
10200484816
11a3194234
1257185380
13326c6b8c
141c8aada0
1512902d96
hexbf327d0

200484816 has 80 divisors (see below), whose sum is σ = 593485824. Its totient is φ = 57128832.

The previous prime is 200484803. The next prime is 200484829. The reversal of 200484816 is 618484002.

200484816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200484803) and next prime (200484829).

It is a super-2 number, since 2×2004848162 = 80388322893107712, which contains 22 as substring.

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, 203461 + ... + 204443.

Almost surely, 2200484816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200484816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296742912).

200484816 is an abundant number, since it is smaller than the sum of its proper divisors (393001008).

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

200484816 is a wasteful number, since it uses less digits than its factorization.

200484816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 200484816 is about 14159.2660826753. The cubic root of 200484816 is about 585.2757031948.

The spelling of 200484816 in words is "two hundred million, four hundred eighty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 607 983 1214 1821 1966 2428 2949 3642 3932 4249 4856 5898 6881 7284 7864 8498 9712 11796 12747 13762 14568 15728 16996 20643 23592 25494 27524 29136 33992 41286 47184 50988 55048 67984 82572 101976 110096 165144 203952 330288 596681 1193362 1790043 2386724 3580086 4176767 4773448 7160172 8353534 9546896 12530301 14320344 16707068 25060602 28640688 33414136 50121204 66828272 100242408 200484816