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2230264 = 231723231
BaseRepresentation
bin1000100000011111111000
311012022100101
420200133320
51032332024
6115445144
724646141
oct10403770
94168311
102230264
1112936a3
128b67b4
136011aa
14420ac8
152e0c44
hex2207f8

2230264 has 48 divisors (see below), whose sum is σ = 4777920. Its totient is φ = 971520.

The previous prime is 2230253. The next prime is 2230301. The reversal of 2230264 is 4620322.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71929 + ... + 71959.

It is an arithmetic number, because the mean of its divisors is an integer number (99540).

22230264 is an apocalyptic number.

It is an amenable number.

2230264 is an abundant number, since it is smaller than the sum of its proper divisors (2547656).

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

2230264 is a wasteful number, since it uses less digits than its factorization.

2230264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2230264 is about 1493.4068434288. The cubic root of 2230264 is about 130.6528110164.

Adding to 2230264 its reverse (4620322), we get a palindrome (6850586).

It can be divided in two parts, 22302 and 64, that added together give a triangular number (22366 = T211).

The spelling of 2230264 in words is "two million, two hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 4 8 17 23 31 34 46 62 68 92 124 136 184 248 391 527 529 713 782 1054 1058 1426 1564 2108 2116 2852 3128 4216 4232 5704 8993 12121 16399 17986 24242 32798 35972 48484 65596 71944 96968 131192 278783 557566 1115132 2230264