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2264448 = 2735897
BaseRepresentation
bin1000101000110110000000
311021001020110
420220312000
51034430243
6120311320
725150614
oct10506600
94231213
102264448
11130734a
12912540
13613914
1442d344
152eae33
hex228d80

2264448 has 32 divisors (see below), whose sum is σ = 6015960. Its totient is φ = 754688.

The previous prime is 2264443. The next prime is 2264453. The reversal of 2264448 is 8444622.

It is an interprime number because it is at equal distance from previous prime (2264443) and next prime (2264453).

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264443) 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 3 ways as a sum of consecutive naturals, for example, 2565 + ... + 3332.

22264448 is an apocalyptic number.

It is an amenable number.

2264448 is an abundant number, since it is smaller than the sum of its proper divisors (3751512).

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

2264448 is an equidigital number, since it uses as much as digits as its factorization.

2264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5902 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 2264448 is about 1504.8082934381. The cubic root of 2264448 is about 131.3169490642.

The spelling of 2264448 in words is "two million, two hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5897 11794 17691 23588 35382 47176 70764 94352 141528 188704 283056 377408 566112 754816 1132224 2264448