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200096424 = 233211467541
BaseRepresentation
bin10111110110100…
…11101010101000
3111221111221200200
423323103222220
5402211041144
631504432200
74646535333
oct1373235250
9457457620
10200096424
11a2a49450
1257018660
13325bc168
141c80961a
1512877c69
hexbed3aa8

200096424 has 96 divisors (see below), whose sum is σ = 593555040. Its totient is φ = 60393600.

The previous prime is 200096419. The next prime is 200096459. The reversal of 200096424 is 424690002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369594 + ... + 370134.

It is an arithmetic number, because the mean of its divisors is an integer number (6182865).

Almost surely, 2200096424 is an apocalyptic number.

200096424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200096424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296777520).

200096424 is an abundant number, since it is smaller than the sum of its proper divisors (393458616).

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

200096424 is a wasteful number, since it uses less digits than its factorization.

200096424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 200096424 is about 14145.5443161442. The cubic root of 200096424 is about 584.8975143719.

The spelling of 200096424 in words is "two hundred million, ninety-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 467 541 792 934 1082 1401 1623 1868 2164 2802 3246 3736 4203 4328 4869 5137 5604 5951 6492 8406 9738 10274 11208 11902 12984 15411 16812 17853 19476 20548 23804 30822 33624 35706 38952 41096 46233 47608 53559 61644 71412 92466 107118 123288 142824 184932 214236 252647 369864 428472 505294 757941 1010588 1515882 2021176 2273823 2779117 3031764 4547646 5558234 6063528 8337351 9095292 11116468 16674702 18190584 22232936 25012053 33349404 50024106 66698808 100048212 200096424