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2280704 = 2859151
BaseRepresentation
bin1000101100110100000000
311021212112112
420230310000
51040440304
6120514452
725246166
oct10546400
94255475
102280704
111318588
1291ba28
1361b13a
14435236
15300b6e
hex22cd00

2280704 has 36 divisors (see below), whose sum is σ = 4660320. Its totient is φ = 1113600.

The previous prime is 2280689. The next prime is 2280709. The reversal of 2280704 is 4070822.

It is a super-2 number, since 2×22807042 = 10403221471232, which contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 2280704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15029 + ... + 15179.

22280704 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 2280704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330160).

2280704 is an abundant number, since it is smaller than the sum of its proper divisors (2379616).

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

2280704 is an equidigital number, since it uses as much as digits as its factorization.

2280704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2280704 is about 1510.1999867567. The cubic root of 2280704 is about 131.6304324442.

The spelling of 2280704 in words is "two million, two hundred eighty thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 59 64 118 128 151 236 256 302 472 604 944 1208 1888 2416 3776 4832 7552 8909 9664 15104 17818 19328 35636 38656 71272 142544 285088 570176 1140352 2280704