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2264864 = 25710111
BaseRepresentation
bin1000101000111100100000
311021001210212
420220330200
51034433424
6120313252
725152050
oct10507440
94231725
102264864
111307698
12912828
13613b74
1442d560
152eb10e
hex228f20

2264864 has 24 divisors (see below), whose sum is σ = 5096448. Its totient is φ = 970560.

The previous prime is 2264863. The next prime is 2264897. The reversal of 2264864 is 4684622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 217 + 221 + 64 + 44 + 85 + 64 + 45 .

It is a self number, because there is not a number n which added to its sum of digits gives 2264864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4832 + ... + 5279.

It is an arithmetic number, because the mean of its divisors is an integer number (212352).

22264864 is an apocalyptic number.

It is an amenable number.

2264864 is an abundant number, since it is smaller than the sum of its proper divisors (2831584).

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

2264864 is a wasteful number, since it uses less digits than its factorization.

2264864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128 (or 10120 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 2264864 is about 1504.9465106774. The cubic root of 2264864 is about 131.3249899504.

The spelling of 2264864 in words is "two million, two hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 10111 20222 40444 70777 80888 141554 161776 283108 323552 566216 1132432 2264864