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200290368 = 2635917681
BaseRepresentation
bin10111111000000…
…11000001000000
3111221212210201210
423330003001000
5402233242433
631512530120
74651303635
oct1374030100
9457783653
10200290368
11a3071133
12570b0940
1332659515
141c85a18c
15128b5463
hexbf03040

200290368 has 56 divisors (see below), whose sum is σ = 538947360. Its totient is φ = 65628160.

The previous prime is 200290367. The next prime is 200290393. The reversal of 200290368 is 863092002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200290367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2488 + ... + 20168.

It is an arithmetic number, because the mean of its divisors is an integer number (9624060).

Almost surely, 2200290368 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 200290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269473680).

200290368 is an abundant number, since it is smaller than the sum of its proper divisors (338656992).

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

200290368 is a wasteful number, since it uses less digits than its factorization.

200290368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17755 (or 17745 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 200290368 is about 14152.3979593566. The cubic root of 200290368 is about 585.0864245169.

The spelling of 200290368 in words is "two hundred million, two hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 5664 11328 17681 35362 53043 70724 106086 141448 212172 282896 424344 565792 848688 1043179 1131584 1697376 2086358 3129537 3394752 4172716 6259074 8345432 12518148 16690864 25036296 33381728 50072592 66763456 100145184 200290368