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2298080 = 25553271
BaseRepresentation
bin1000110001000011100000
311022202101002
420301003200
51042014310
6121131132
725350641
oct10610340
94282332
102298080
11132a644
12929aa8
13626015
1443b6c8
15305da5
hex2310e0

2298080 has 48 divisors (see below), whose sum is σ = 5552064. Its totient is φ = 898560.

The previous prime is 2298073. The next prime is 2298089. The reversal of 2298080 is 808922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2298089) 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 7 ways as a sum of consecutive naturals, for example, 8345 + ... + 8615.

It is an arithmetic number, because the mean of its divisors is an integer number (115668).

22298080 is an apocalyptic number.

2298080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2298080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776032).

2298080 is an abundant number, since it is smaller than the sum of its proper divisors (3253984).

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

2298080 is a wasteful number, since it uses less digits than its factorization.

2298080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2298080 is about 1515.9419513952. The cubic root of 2298080 is about 131.9638713490.

The spelling of 2298080 in words is "two million, two hundred ninety-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 271 424 530 542 848 1060 1084 1355 1696 2120 2168 2710 4240 4336 5420 8480 8672 10840 14363 21680 28726 43360 57452 71815 114904 143630 229808 287260 459616 574520 1149040 2298080