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201263272 = 237171631297
BaseRepresentation
bin10111111111100…
…00100010101000
3112000201020022021
423333300202220
5403010411042
631545434224
74662465250
oct1377604250
9460636267
10201263272
11a3676091
125749b974
133290a2c2
141ca30960
1512a08867
hexbff08a8

201263272 has 64 divisors (see below), whose sum is σ = 459803520. Its totient is φ = 80621568.

The previous prime is 201263267. The next prime is 201263273. The reversal of 201263272 is 272362102.

It is a super-2 number, since 2×2012632722 = 81013809312291968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201263273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154528 + ... + 155824.

It is an arithmetic number, because the mean of its divisors is an integer number (7184430).

Almost surely, 2201263272 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 201263272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229901760).

201263272 is an abundant number, since it is smaller than the sum of its proper divisors (258540248).

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

201263272 is a wasteful number, since it uses less digits than its factorization.

201263272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 201263272 is about 14186.7287279344. The cubic root of 201263272 is about 586.0322408847.

The spelling of 201263272 in words is "two hundred one million, two hundred sixty-three thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 163 238 326 476 652 952 1141 1297 1304 2282 2594 2771 4564 5188 5542 9079 9128 10376 11084 18158 19397 22049 22168 36316 38794 44098 72632 77588 88196 154343 155176 176392 211411 308686 422822 617372 845644 1234744 1479877 1691288 2959754 3593987 5919508 7187974 11839016 14375948 25157909 28751896 50315818 100631636 201263272