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2265256 = 237192129
BaseRepresentation
bin1000101001000010101000
311021002100101
420221002220
51034442011
6120315144
725153150
oct10510250
94232311
102265256
111307a14
12912ab4
136140b6
1442d760
152eb2c1
hex2290a8

2265256 has 32 divisors (see below), whose sum is σ = 5112000. Its totient is φ = 919296.

The previous prime is 2265239. The next prime is 2265269. The reversal of 2265256 is 6525622.

2265256 is a nontrivial binomial coefficient, being equal to C(2129, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 2128.

It is an arithmetic number, because the mean of its divisors is an integer number (159750).

22265256 is an apocalyptic number.

2265256 is the 2128-th triangular number.

2265256 is the 710-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556000).

2265256 is an abundant number, since it is smaller than the sum of its proper divisors (2846744).

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

2265256 is a wasteful number, since it uses less digits than its factorization.

2265256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2157 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 2265256 is about 1505.0767422294. The cubic root of 2265256 is about 131.3325660383.

The spelling of 2265256 in words is "two million, two hundred sixty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 2129 4258 8516 14903 17032 29806 40451 59612 80902 119224 161804 283157 323608 566314 1132628 2265256