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201012252 = 223753163277
BaseRepresentation
bin10111111101100…
…11010000011100
3112000020110222020
423332303100130
5402424343002
631540220140
74660401360
oct1376632034
9460213866
10201012252
11a3514531
125739a650
133284cc7c
141c9a72a0
15129a92bc
hexbfb341c

201012252 has 96 divisors (see below), whose sum is σ = 551480832. Its totient is φ = 55800576.

The previous prime is 201012247. The next prime is 201012319. The reversal of 201012252 is 252210102.

It is a super-2 number, since 2×2010122522 = 80811850908223008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725538 + ... + 725814.

It is an arithmetic number, because the mean of its divisors is an integer number (5744592).

Almost surely, 2201012252 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 201012252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275740416).

201012252 is an abundant number, since it is smaller than the sum of its proper divisors (350468580).

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

201012252 is a wasteful number, since it uses less digits than its factorization.

201012252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 201012252 is about 14177.8789668977. The cubic root of 201012252 is about 585.7885020712.

Adding to 201012252 its reverse (252210102), we get a palindrome (453222354).

The spelling of 201012252 in words is "two hundred one million, twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 163 212 277 318 326 371 489 554 636 652 742 831 978 1108 1113 1141 1484 1662 1939 1956 2226 2282 3324 3423 3878 4452 4564 5817 6846 7756 8639 11634 13692 14681 17278 23268 25917 29362 34556 44043 45151 51834 58724 60473 88086 90302 102767 103668 120946 135453 176172 180604 181419 205534 241892 270906 308301 316057 362838 411068 541812 616602 632114 725676 948171 1233204 1264228 1896342 2393003 3792684 4786006 7179009 9572012 14358018 16751021 28716036 33502042 50253063 67004084 100506126 201012252