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201238272 = 2832194597
BaseRepresentation
bin10111111111010…
…10011100000000
3112000122222000100
423333222130000
5403004111042
631545122400
74662332334
oct1377523400
9460588010
10201238272
11a3659324
1257489400
13328cbb01
141ca257c4
1512a0124c
hexbfea700

201238272 has 108 divisors (see below), whose sum is σ = 610890280. Its totient is φ = 63535104.

The previous prime is 201238259. The next prime is 201238273. The reversal of 201238272 is 272832102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201238273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41478 + ... + 46074.

Almost surely, 2201238272 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 201238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305445140).

201238272 is an abundant number, since it is smaller than the sum of its proper divisors (409652008).

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

201238272 is a wasteful number, since it uses less digits than its factorization.

201238272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 201238272 is about 14185.8475954030. The cubic root of 201238272 is about 586.0079751348.

The spelling of 201238272 in words is "two hundred one million, two hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4597 4864 5472 7296 9194 10944 13791 14592 18388 21888 27582 36776 41373 43776 55164 73552 82746 87343 110328 147104 165492 174686 220656 262029 294208 330984 349372 441312 524058 588416 661968 698744 786087 882624 1048116 1176832 1323936 1397488 1572174 1765248 2096232 2647872 2794976 3144348 3530496 4192464 5295744 5589952 6288696 8384928 10591488 11179904 12577392 16769856 22359808 25154784 33539712 50309568 67079424 100619136 201238272