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2275648 = 2631237
BaseRepresentation
bin1000101011100101000000
311021121121021
420223211000
51040310043
6120435224
725225354
oct10534500
94247537
102275648
111314801
12918b14
13618a4b
14433464
152ee3ed
hex22b940

2275648 has 42 divisors (see below), whose sum is σ = 4792218. Its totient is φ = 1071360.

The previous prime is 2275639. The next prime is 2275657. The reversal of 2275648 is 8465722.

It is an interprime number because it is at equal distance from previous prime (2275639) and next prime (2275657).

It can be written as a sum of positive squares in only one way, i.e., 2214144 + 61504 = 1488^2 + 248^2 .

It is a d-powerful number, because it can be written as 212 + 220 + 77 + 58 + 65 + 45 + 8 .

Its product of digits (26880) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61486 + ... + 61522.

22275648 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 2275648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396109).

2275648 is an abundant number, since it is smaller than the sum of its proper divisors (2516570).

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

2275648 is an equidigital number, since it uses as much as digits as its factorization.

2275648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 2275648 is about 1508.5251075140. The cubic root of 2275648 is about 131.5330917600.

The spelling of 2275648 in words is "two million, two hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 148 248 296 496 592 961 992 1147 1184 1922 1984 2294 2368 3844 4588 7688 9176 15376 18352 30752 35557 36704 61504 71114 73408 142228 284456 568912 1137824 2275648