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200893638 = 231122353227
BaseRepresentation
bin10111111100101…
…10010011000110
3112000000110021010
423332112103012
5402412044023
631533503050
74656365511
oct1376262306
9460013233
10200893638
11a3443400
1257341a86
133280ac9a
141c975d78
1512984093
hexbf964c6

200893638 has 96 divisors (see below), whose sum is σ = 471598848. Its totient is φ = 56879680.

The previous prime is 200893619. The next prime is 200893681. The reversal of 200893638 is 836398002.

It is a junction number, because it is equal to n+sod(n) for n = 200893596 and 200893605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884881 + ... + 885107.

It is an arithmetic number, because the mean of its divisors is an integer number (4912488).

Almost surely, 2200893638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200893638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235799424).

200893638 is an abundant number, since it is smaller than the sum of its proper divisors (270705210).

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

200893638 is a wasteful number, since it uses less digits than its factorization.

200893638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 200893638 is about 14173.6952838700. The cubic root of 200893638 is about 585.6732580366.

The spelling of 200893638 in words is "two hundred million, eight hundred ninety-three thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 11 22 23 33 46 53 66 69 106 121 138 159 227 242 253 318 363 454 506 583 681 726 759 1166 1219 1362 1518 1749 2438 2497 2783 3498 3657 4994 5221 5566 6413 7314 7491 8349 10442 12031 12826 13409 14982 15663 16698 19239 24062 26818 27467 31326 36093 38478 40227 54934 57431 72186 80454 82401 114862 132341 147499 164802 172293 264682 276713 294998 344586 397023 442497 553426 631741 794046 830139 884994 1263482 1455751 1660278 1895223 2911502 3043843 3790446 4367253 6087686 8734506 9131529 18263058 33482273 66964546 100446819 200893638