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2230848 = 26331291
BaseRepresentation
bin1000100000101001000000
311012100011000
420200221000
51032341343
6115452000
724650634
oct10405100
94170130
102230848
111294084
128b7000
13601539
14420dc4
152e0ed3
hex220a40

2230848 has 56 divisors (see below), whose sum is σ = 6563360. Its totient is φ = 743040.

The previous prime is 2230829. The next prime is 2230861. The reversal of 2230848 is 8480322.

It is a super-3 number, since 3×22308483 = 33306668607046680576, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083 + ... + 2373.

22230848 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 2230848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281680).

2230848 is an abundant number, since it is smaller than the sum of its proper divisors (4332512).

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

2230848 is a wasteful number, since it uses less digits than its factorization.

2230848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2230848 is about 1493.6023567202. The cubic root of 2230848 is about 130.6642139389.

The spelling of 2230848 in words is "two million, two hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1291 1728 2582 3873 5164 7746 10328 11619 15492 20656 23238 30984 34857 41312 46476 61968 69714 82624 92952 123936 139428 185904 247872 278856 371808 557712 743616 1115424 2230848