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200894256 = 2434379409
BaseRepresentation
bin10111111100101…
…10011100110000
3112000000111010000
423332112130300
5402412104011
631533510000
74656400353
oct1376263460
9460014100
10200894256
11a3443912
1257342300
133280b354
141c97629a
1512984356
hexbf96730

200894256 has 100 divisors (see below), whose sum is σ = 584405800. Its totient is φ = 66624768.

The previous prime is 200894251. The next prime is 200894257. The reversal of 200894256 is 652498002.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 200894256.

It is not an unprimeable number, because it can be changed into a prime (200894251) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 490980 + ... + 491388.

It is an arithmetic number, because the mean of its divisors is an integer number (5844058).

Almost surely, 2200894256 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 200894256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292202900).

200894256 is an abundant number, since it is smaller than the sum of its proper divisors (383511544).

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

200894256 is a wasteful number, since it uses less digits than its factorization.

200894256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 200894256 is about 14173.7170848017. The cubic root of 200894256 is about 585.6738585961.

The spelling of 200894256 in words is "two hundred million, eight hundred ninety-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 379 409 432 648 758 818 1137 1227 1296 1516 1636 2274 2454 3032 3272 3411 3681 4548 4908 6064 6544 6822 7362 9096 9816 10233 11043 13644 14724 18192 19632 20466 22086 27288 29448 30699 33129 40932 44172 54576 58896 61398 66258 81864 88344 122796 132516 155011 163728 176688 245592 265032 310022 465033 491184 530064 620044 930066 1240088 1395099 1860132 2480176 2790198 3720264 4185297 5580396 7440528 8370594 11160792 12555891 16741188 22321584 25111782 33482376 50223564 66964752 100447128 200894256