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102262264 = 23131576263
BaseRepresentation
bin1100001100001…
…10010111111000
321010102110110021
412012012113320
5202134343024
614051500224
72351133466
oct606062770
9233373407
10102262264
11527a7175
122a2b7674
1318256420
14d81d836
158e9ede4
hex61865f8

102262264 has 32 divisors (see below), whose sum is σ = 207839520. Its totient is φ = 46889856.

The previous prime is 102262253. The next prime is 102262267. The reversal of 102262264 is 462262201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102262267) 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 7 ways as a sum of consecutive naturals, for example, 13197 + ... + 19459.

It is an arithmetic number, because the mean of its divisors is an integer number (6494985).

Almost surely, 2102262264 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 102262264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103919760).

102262264 is an abundant number, since it is smaller than the sum of its proper divisors (105577256).

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

102262264 is a wasteful number, since it uses less digits than its factorization.

102262264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6439 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 102262264 is about 10112.4806056674. The cubic root of 102262264 is about 467.6329822726.

The spelling of 102262264 in words is "one hundred two million, two hundred sixty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 157 314 628 1256 2041 4082 6263 8164 12526 16328 25052 50104 81419 162838 325676 651352 983291 1966582 3933164 7866328 12782783 25565566 51131132 102262264