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102252231 = 32291133467
BaseRepresentation
bin1100001100000…
…11111011000111
321010101221200200
412012003323013
5202134032411
614051341543
72351062314
oct606037307
9233357620
10102252231
115279a684
122a2b18b3
13182519a3
14d819d0b
158e9be56
hex6183ec7

102252231 has 24 divisors (see below), whose sum is σ = 154187280. Its totient is φ = 65216256.

The previous prime is 102252221. The next prime is 102252233. The reversal of 102252231 is 132252201.

It is not a de Polignac number, because 102252231 - 215 = 102219463 is a prime.

It is a super-2 number, since 2×1022522312 = 20911037488954722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102252233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27760 + ... + 31226.

It is an arithmetic number, because the mean of its divisors is an integer number (6424470).

Almost surely, 2102252231 is an apocalyptic number.

102252231 is a deficient number, since it is larger than the sum of its proper divisors (51935049).

102252231 is a wasteful number, since it uses less digits than its factorization.

102252231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102252231 is about 10111.9845233268. The cubic root of 102252231 is about 467.6176885400.

The spelling of 102252231 in words is "one hundred two million, two hundred fifty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 29 87 113 261 339 1017 3277 3467 9831 10401 29493 31203 100543 301629 391771 904887 1175313 3525939 11361359 34084077 102252231