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200807152 = 2471321032
BaseRepresentation
bin10111111100000…
…01001011110000
3111222212001121221
423332001023300
5402401312102
631531554424
74655555410
oct1376011360
9458761557
10200807152
11a3394427
12572bba14
13327aa800
141c952640
1512968637
hexbf812f0

200807152 has 90 divisors (see below), whose sum is σ = 486198792. Its totient is φ = 78668928.

The previous prime is 200807141. The next prime is 200807183. The reversal of 200807152 is 251708002.

200807152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2008071522 = 80647024588702208, 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 17 ways as a sum of consecutive naturals, for example, 1949533 + ... + 1949635.

Almost surely, 2200807152 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 200807152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243099396).

200807152 is an abundant number, since it is smaller than the sum of its proper divisors (285391640).

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

200807152 is a wasteful number, since it uses less digits than its factorization.

200807152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 200807152 is about 14170.6440220619. The cubic root of 200807152 is about 585.5892006081.

The spelling of 200807152 in words is "two hundred million, eight hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 103 104 112 169 182 206 208 338 364 412 676 721 728 824 1183 1339 1352 1442 1456 1648 2366 2678 2704 2884 4732 5356 5768 9373 9464 10609 10712 11536 17407 18746 18928 21218 21424 34814 37492 42436 69628 74263 74984 84872 121849 137917 139256 148526 149968 169744 243698 275834 278512 297052 487396 551668 594104 965419 974792 1103336 1188208 1792921 1930838 1949584 2206672 3585842 3861676 7171684 7723352 12550447 14343368 15446704 25100894 28686736 50201788 100403576 200807152