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2264856 = 2331123373
BaseRepresentation
bin1000101000111100011000
311021001210120
420220330120
51034433411
6120313240
725152036
oct10507430
94231716
102264856
111307690
12912820
13613b69
1442d556
152eb106
hex228f18

2264856 has 64 divisors (see below), whose sum is σ = 6462720. Its totient is φ = 654720.

The previous prime is 2264839. The next prime is 2264861. The reversal of 2264856 is 6584622.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5886 + ... + 6258.

It is an arithmetic number, because the mean of its divisors is an integer number (100980).

22264856 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 2264856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231360).

2264856 is an abundant number, since it is smaller than the sum of its proper divisors (4197864).

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

2264856 is a wasteful number, since it uses less digits than its factorization.

2264856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 2264856 is about 1504.9438527733. The cubic root of 2264856 is about 131.3248353273.

The spelling of 2264856 in words is "two million, two hundred sixty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 373 506 552 746 759 1012 1119 1492 1518 2024 2238 2984 3036 4103 4476 6072 8206 8579 8952 12309 16412 17158 24618 25737 32824 34316 49236 51474 68632 94369 98472 102948 188738 205896 283107 377476 566214 754952 1132428 2264856