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2256464 = 24720147
BaseRepresentation
bin1000100110111001010000
311020122021202
420212321100
51034201324
6120210332
725115420
oct10467120
94218252
102256464
111301351
129099a8
136100b2
1442a480
152e88ae
hex226e50

2256464 has 20 divisors (see below), whose sum is σ = 4996704. Its totient is φ = 967008.

The previous prime is 2256437. The next prime is 2256467. The reversal of 2256464 is 4646522.

2256464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9962 + ... + 10185.

22256464 is an apocalyptic number.

It is an amenable number.

2256464 is an abundant number, since it is smaller than the sum of its proper divisors (2740240).

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

2256464 is a wasteful number, since it uses less digits than its factorization.

2256464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20162 (or 20156 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 2256464 is about 1502.1531213561. The cubic root of 2256464 is about 131.1624347143.

The spelling of 2256464 in words is "two million, two hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 20147 40294 80588 141029 161176 282058 322352 564116 1128232 2256464