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201132552 = 23341474349
BaseRepresentation
bin10111111110100…
…00101000001000
3112000110120222210
423333100220020
5402442220202
631542545120
74661412165
oct1377205010
9460416883
10201132552
11a3596955
12574381a0
133289295a
141c9d906c
15129cec6c
hexbfd0a08

201132552 has 64 divisors (see below), whose sum is σ = 526176000. Its totient is φ = 64002560.

The previous prime is 201132551. The next prime is 201132611. The reversal of 201132552 is 255231102.

201132552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201132551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44074 + ... + 48422.

It is an arithmetic number, because the mean of its divisors is an integer number (8221500).

Almost surely, 2201132552 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 201132552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263088000).

201132552 is an abundant number, since it is smaller than the sum of its proper divisors (325043448).

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

201132552 is a wasteful number, since it uses less digits than its factorization.

201132552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 201132552 is about 14182.1208569099. The cubic root of 201132552 is about 585.9053379068.

Adding to 201132552 its reverse (255231102), we get a palindrome (456363654).

The spelling of 201132552 in words is "two hundred one million, one hundred thirty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 47 82 94 123 141 164 188 246 282 328 376 492 564 984 1128 1927 3854 4349 5781 7708 8698 11562 13047 15416 17396 23124 26094 34792 46248 52188 104376 178309 204403 356618 408806 534927 613209 713236 817612 1069854 1226418 1426472 1635224 2139708 2452836 4279416 4905672 8380523 16761046 25141569 33522092 50283138 67044184 100566276 201132552