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200896272 = 243219101727
BaseRepresentation
bin10111111100101…
…10111100010000
3112000000120212200
423332112330100
5402412140042
631533523200
74656406263
oct1376267420
9460016780
10200896272
11a3445385
1257343500
133280c245
141c976cda
1512984c4c
hexbf96f10

200896272 has 120 divisors (see below), whose sum is σ = 598503360. Its totient is φ = 62726400.

The previous prime is 200896249. The next prime is 200896277. The reversal of 200896272 is 272698002.

200896272 is a `hidden beast` number, since 20 + 0 + 8 + 9 + 627 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (200896277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275973 + ... + 276699.

It is an arithmetic number, because the mean of its divisors is an integer number (4987528).

Almost surely, 2200896272 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 200896272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299251680).

200896272 is an abundant number, since it is smaller than the sum of its proper divisors (397607088).

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

200896272 is a wasteful number, since it uses less digits than its factorization.

200896272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 200896272 is about 14173.7882021709. The cubic root of 200896272 is about 585.6758176940.

The spelling of 200896272 in words is "two hundred million, eight hundred ninety-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 101 114 144 152 171 202 228 303 304 342 404 456 606 684 727 808 909 912 1212 1368 1454 1616 1818 1919 2181 2424 2736 2908 3636 3838 4362 4848 5757 5816 6543 7272 7676 8724 11514 11632 13086 13813 14544 15352 17271 17448 23028 26172 27626 30704 34542 34896 41439 46056 52344 55252 69084 73427 82878 92112 104688 110504 124317 138168 146854 165756 220281 221008 248634 276336 293708 331512 440562 497268 587416 660843 663024 881124 994536 1174832 1321686 1395113 1762248 1989072 2643372 2790226 3524496 4185339 5286744 5580452 8370678 10573488 11160904 12556017 16741356 22321808 25112034 33482712 50224068 66965424 100448136 200896272