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200279104 = 26292612
BaseRepresentation
bin10111111000000…
…00010001000000
3111221212020021121
423330000101000
5402232412404
631512402024
74651226044
oct1374002100
9457766247
10200279104
11a3063723
12570a6314
133265435c
141c856024
15128b1e54
hexbf00440

200279104 has 63 divisors (see below), whose sum is σ = 418464111. Its totient is φ = 95101440.

The previous prime is 200279089. The next prime is 200279119. The reversal of 200279104 is 401972002.

The square root of 200279104 is 14152.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (200279089) and next prime (200279119).

It can be written as a sum of positive squares in 4 ways, for example, as 60093504 + 140185600 = 7752^2 + 11840^2 .

It is a super-2 number, since 2×2002791042 = 80223438998085632, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3283234 + ... + 3283294.

Almost surely, 2200279104 is an apocalyptic number.

200279104 is the 14152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200279104

200279104 is an abundant number, since it is smaller than the sum of its proper divisors (218185007).

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

200279104 is an frugal number, since it uses more digits than its factorization.

200279104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The cubic root of 200279104 is about 585.0754562128.

Multiplying 200279104 by its sum of digits (25), we get a square (5006977600 = 707602).

The spelling of 200279104 in words is "two hundred million, two hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 232 244 464 488 841 928 976 1682 1769 1856 1952 3364 3538 3721 3904 6728 7076 7442 13456 14152 14884 26912 28304 29768 51301 53824 56608 59536 102602 107909 113216 119072 205204 215818 238144 410408 431636 820816 863272 1641632 1726544 3129361 3283264 3453088 6258722 6906176 12517444 25034888 50069776 100139552 200279104