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201521144 = 231121910957
BaseRepresentation
bin11000000001011…
…11011111111000
3112001012100001002
430000233133320
5403042134034
631555144132
74664621126
oct1400573770
9461170032
10201521144
11a3831900
12575a5048
133299a7a6
141ca9a916
1512a59e7e
hexc02f7f8

201521144 has 48 divisors (see below), whose sum is σ = 437224200. Its totient is φ = 86771520.

The previous prime is 201521141. The next prime is 201521161. The reversal of 201521144 is 441125102.

It is a happy number.

It is a super-2 number, since 2×2015211442 = 81221542958137472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201521141) 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, 12914 + ... + 23870.

Almost surely, 2201521144 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 201521144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218612100).

201521144 is an abundant number, since it is smaller than the sum of its proper divisors (235703056).

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

201521144 is a wasteful number, since it uses less digits than its factorization.

201521144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11004 (or 10989 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 201521144 is about 14195.8143126768. The cubic root of 201521144 is about 586.2824220002.

Adding to 201521144 its reverse (441125102), we get a palindrome (642646246).

The spelling of 201521144 in words is "two hundred one million, five hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1672 2299 4598 9196 10957 18392 21914 43828 87656 120527 208183 241054 416366 482108 832732 964216 1325797 1665464 2290013 2651594 4580026 5303188 9160052 10606376 18320104 25190143 50380286 100760572 201521144