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2230464 = 26311617
BaseRepresentation
bin1000100000100011000000
311012022121210
420200203000
51032333324
6115450120
724646545
oct10404300
94168553
102230464
111293865
128b6940
13601302
14420bcc
152e0d29
hex2208c0

2230464 has 28 divisors (see below), whose sum is σ = 5901944. Its totient is φ = 743424.

The previous prime is 2230457. The next prime is 2230469. The reversal of 2230464 is 4640322.

It is a hoax number, since the sum of its digits (21) 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 2230464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230469) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5617 + ... + 6000.

22230464 is an apocalyptic number.

2230464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2230464 is an abundant number, since it is smaller than the sum of its proper divisors (3671480).

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

2230464 is a wasteful number, since it uses less digits than its factorization.

2230464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11632 (or 11622 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2230464 is about 1493.4738029172. The cubic root of 2230464 is about 130.6567163509.

Adding to 2230464 its reverse (4640322), we get a palindrome (6870786).

The spelling of 2230464 in words is "two million, two hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 11617 23234 34851 46468 69702 92936 139404 185872 278808 371744 557616 743488 1115232 2230464