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200290688 = 2713247197
BaseRepresentation
bin10111111000000…
…11000110000000
3111221212211011122
423330003012000
5402233300223
631512531412
74651304603
oct1374030600
9457784148
10200290688
11a30713a4
12570b0b68
1332659700
141c85a33a
15128b55c8
hexbf03180

200290688 has 96 divisors (see below), whose sum is σ = 443504160. Its totient is φ = 90015744.

The previous prime is 200290687. The next prime is 200290691. The reversal of 200290688 is 886092002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200290687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1016606 + ... + 1016802.

It is an arithmetic number, because the mean of its divisors is an integer number (4619835).

Almost surely, 2200290688 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 200290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221752080).

200290688 is an abundant number, since it is smaller than the sum of its proper divisors (243213472).

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

200290688 is a wasteful number, since it uses less digits than its factorization.

200290688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 200290688 is about 14152.4092648566. The cubic root of 200290688 is about 585.0867361105.

The spelling of 200290688 in words is "two hundred million, two hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 169 188 197 208 338 376 394 416 611 676 752 788 832 1222 1352 1504 1576 1664 2444 2561 2704 3008 3152 4888 5122 5408 6016 6304 7943 9259 9776 10244 10816 12608 15886 18518 19552 20488 21632 25216 31772 33293 37036 39104 40976 63544 66586 74072 78208 81952 120367 127088 133172 148144 163904 240734 254176 266344 296288 327808 481468 508352 532688 592576 962936 1016704 1065376 1185152 1564771 1925872 2130752 3129542 3851744 4261504 6259084 7703488 12518168 15406976 25036336 50072672 100145344 200290688