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201057232 = 24172971359
BaseRepresentation
bin10111111101111…
…10001111010000
3112000022202200011
423332332033100
5402432312412
631541204304
74660646455
oct1376761720
9460282604
10201057232
11a3545302
1257400694
133286759c
141c9b982c
15129b77a7
hexbfbe3d0

201057232 has 80 divisors (see below), whose sum is σ = 433900800. Its totient is φ = 89815040.

The previous prime is 201057229. The next prime is 201057239. The reversal of 201057232 is 232750102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201057239) 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, 559869 + ... + 560227.

It is an arithmetic number, because the mean of its divisors is an integer number (5423760).

Almost surely, 2201057232 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 201057232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216950400).

201057232 is an abundant number, since it is smaller than the sum of its proper divisors (232843568).

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

201057232 is a wasteful number, since it uses less digits than its factorization.

201057232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 201057232 is about 14179.4651521135. The cubic root of 201057232 is about 585.8321922799.

The spelling of 201057232 in words is "two hundred one million, fifty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 71 116 136 142 232 272 284 359 464 493 568 718 986 1136 1207 1436 1972 2059 2414 2872 3944 4118 4828 5744 6103 7888 8236 9656 10411 12206 16472 19312 20822 24412 25489 32944 35003 41644 48824 50978 70006 83288 97648 101956 140012 166576 176987 203912 280024 353974 407824 433313 560048 707948 739181 866626 1415896 1478362 1733252 2831792 2956724 3466504 5913448 6933008 11826896 12566077 25132154 50264308 100528616 201057232