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200895816 = 23311319331
BaseRepresentation
bin10111111100101…
…10110101001000
3112000000120020210
423332112311020
5402412131231
631533521120
74656405042
oct1376266510
9460016223
10200895816
11a3445000
12573431a0
133280bc84
141c976a92
1512984a46
hexbf96d48

200895816 has 128 divisors (see below), whose sum is σ = 583257600. Its totient is φ = 57499200.

The previous prime is 200895791. The next prime is 200895833. The reversal of 200895816 is 618598002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606771 + ... + 607101.

It is an arithmetic number, because the mean of its divisors is an integer number (4556700).

Almost surely, 2200895816 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 200895816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291628800).

200895816 is an abundant number, since it is smaller than the sum of its proper divisors (382361784).

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

200895816 is a wasteful number, since it uses less digits than its factorization.

200895816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 200895816 is about 14173.7721161306. The cubic root of 200895816 is about 585.6753745658.

The spelling of 200895816 in words is "two hundred million, eight hundred ninety-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 121 132 152 209 228 242 264 331 363 418 456 484 627 662 726 836 968 993 1254 1324 1331 1452 1672 1986 2299 2508 2648 2662 2904 3641 3972 3993 4598 5016 5324 6289 6897 7282 7944 7986 9196 10648 10923 12578 13794 14564 15972 18392 18867 21846 25156 25289 27588 29128 31944 37734 40051 43692 50312 50578 55176 69179 75468 75867 80102 87384 101156 120153 138358 150936 151734 160204 202312 207537 240306 276716 303468 320408 415074 440561 480612 553432 606936 760969 830148 881122 961224 1321683 1521938 1660296 1762244 2282907 2643366 3043876 3524488 4565814 5286732 6087752 8370659 9131628 10573464 16741318 18263256 25111977 33482636 50223954 66965272 100447908 200895816