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10022864 = 242921601
BaseRepresentation
bin100110001110…
…111111010000
3200212012210012
4212032333100
510031212424
6554454052
7151123115
oct46167720
920765705
1010022864
115726365
123434328
1320cc0b7
14148c90c
15d2eb0e
hex98efd0

10022864 has 20 divisors (see below), whose sum is σ = 20089860. Its totient is φ = 4838400.

The previous prime is 10022851. The next prime is 10022867. The reversal of 10022864 is 46822001.

It can be written as a sum of positive squares in 2 ways, for example, as 7333264 + 2689600 = 2708^2 + 1640^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022867) 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 3 ways as a sum of consecutive naturals, for example, 10337 + ... + 11264.

It is an arithmetic number, because the mean of its divisors is an integer number (1004493).

Almost surely, 210022864 is an apocalyptic number.

It is an amenable number.

10022864 is an abundant number, since it is smaller than the sum of its proper divisors (10066996).

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

10022864 is a wasteful number, since it uses less digits than its factorization.

10022864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21638 (or 21632 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10022864 is about 3165.8907119482. The cubic root of 10022864 is about 215.6075406713.

Adding to 10022864 its reverse (46822001), we get a palindrome (56844865).

The spelling of 10022864 in words is "ten million, twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 21601 43202 86404 172808 345616 626429 1252858 2505716 5011432 10022864