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2270656 = 26172087
BaseRepresentation
bin1000101010010111000000
311021100202101
420222113000
51040130111
6120400144
725204663
oct10522700
94240671
102270656
111310a83
12916054
136166ab
144316da
152ecbc1
hex22a5c0

2270656 has 28 divisors (see below), whose sum is σ = 4773168. Its totient is φ = 1068032.

The previous prime is 2270641. The next prime is 2270659. The reversal of 2270656 is 6560722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270659) 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, 45 + ... + 2131.

22270656 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 2270656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386584).

2270656 is an abundant number, since it is smaller than the sum of its proper divisors (2502512).

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

2270656 is a wasteful number, since it uses less digits than its factorization.

2270656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2270656 is about 1506.8696028522. The cubic root of 2270656 is about 131.4368416796.

It can be divided in two parts, 2270 and 656, that added together give a triangular number (2926 = T76).

The spelling of 2270656 in words is "two million, two hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 2087 4174 8348 16696 33392 35479 66784 70958 133568 141916 283832 567664 1135328 2270656