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2264868 = 223367313
BaseRepresentation
bin1000101000111100100100
311021001211000
420220330210
51034433433
6120313300
725152054
oct10507444
94231730
102264868
1113076a1
12912830
13613b78
1442d564
152eb113
hex228f24

2264868 has 48 divisors (see below), whose sum is σ = 5978560. Its totient is φ = 741312.

The previous prime is 2264863. The next prime is 2264897. The reversal of 2264868 is 8684622.

2264868 is a `hidden beast` number, since 2 + 2 + 648 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 7080 + ... + 7392.

22264868 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 2264868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989280).

2264868 is an abundant number, since it is smaller than the sum of its proper divisors (3713692).

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

2264868 is a wasteful number, since it uses less digits than its factorization.

2264868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2264868 is about 1504.9478396277. The cubic root of 2264868 is about 131.3250672618.

The spelling of 2264868 in words is "two million, two hundred sixty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 313 402 603 626 804 939 1206 1252 1809 1878 2412 2817 3618 3756 5634 7236 8451 11268 16902 20971 33804 41942 62913 83884 125826 188739 251652 377478 566217 754956 1132434 2264868