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200290248 = 233219413571
BaseRepresentation
bin10111111000000…
…10111111001000
3111221212210120100
423330002333020
5402233241443
631512525400
74651303404
oct1374027710
9457783510
10200290248
11a3071034
12570b0860
1332659452
141c85a104
15128b53d3
hexbf02fc8

200290248 has 96 divisors (see below), whose sum is σ = 585093600. Its totient is φ = 61689600.

The previous prime is 200290247. The next prime is 200290249. The reversal of 200290248 is 842092002.

It is an interprime number because it is at equal distance from previous prime (200290247) and next prime (200290249).

It is not an unprimeable number, because it can be changed into a prime (200290247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54303 + ... + 57873.

It is an arithmetic number, because the mean of its divisors is an integer number (6094725).

Almost surely, 2200290248 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 200290248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292546800).

200290248 is an abundant number, since it is smaller than the sum of its proper divisors (384803352).

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

200290248 is a wasteful number, since it uses less digits than its factorization.

200290248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 200290248 is about 14152.3937197917. The cubic root of 200290248 is about 585.0863076693.

The spelling of 200290248 in words is "two hundred million, two hundred ninety thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 41 57 72 76 82 114 123 152 164 171 228 246 328 342 369 456 492 684 738 779 984 1368 1476 1558 2337 2952 3116 3571 4674 6232 7011 7142 9348 10713 14022 14284 18696 21426 28044 28568 32139 42852 56088 64278 67849 85704 128556 135698 146411 203547 257112 271396 292822 407094 439233 542792 585644 610641 814188 878466 1171288 1221282 1317699 1628376 1756932 2442564 2635398 2781809 3513864 4885128 5270796 5563618 8345427 10541592 11127236 16690854 22254472 25036281 33381708 50072562 66763416 100145124 200290248