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200798208 = 2123213419
BaseRepresentation
bin10111111011111…
…11000000000000
3111222211121100200
423331333000000
5402401020313
631531445200
74655520342
oct1375770000
9458747320
10200798208
11a3388736
12572b6800
13327a6710
141c94d292
1512965b73
hexbf7f000

200798208 has 156 divisors (see below), whose sum is σ = 626120040. Its totient is φ = 61636608.

The previous prime is 200798207. The next prime is 200798219. The reversal of 200798208 is 802897002.

200798208 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 (156).

It is a super-2 number, since 2×2007982082 = 80639840672022528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200798207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479023 + ... + 479441.

It is an arithmetic number, because the mean of its divisors is an integer number (4013590).

Almost surely, 2200798208 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 200798208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313060020).

200798208 is an abundant number, since it is smaller than the sum of its proper divisors (425321832).

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

200798208 is a wasteful number, since it uses less digits than its factorization.

200798208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 200798208 is about 14170.3284365607. The cubic root of 200798208 is about 585.5805063833.

The spelling of 200798208 in words is "two hundred million, seven hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 419 468 512 576 624 768 832 838 936 1024 1152 1248 1257 1536 1664 1676 1872 2048 2304 2496 2514 3072 3328 3352 3744 3771 4096 4608 4992 5028 5447 6144 6656 6704 7488 7542 9216 9984 10056 10894 12288 13312 13408 14976 15084 16341 18432 19968 20112 21788 26624 26816 29952 30168 32682 36864 39936 40224 43576 49023 53248 53632 59904 60336 65364 79872 80448 87152 98046 107264 119808 120672 130728 159744 160896 174304 196092 214528 239616 241344 261456 321792 348608 392184 429056 479232 482688 522912 643584 697216 784368 858112 965376 1045824 1287168 1394432 1568736 1716224 1930752 2091648 2574336 2788864 3137472 3861504 4183296 5148672 5577728 6274944 7723008 8366592 11155456 12549888 15446016 16733184 22310912 25099776 33466368 50199552 66932736 100399104 200798208