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2276448 = 253231031
BaseRepresentation
bin1000101011110001100000
311021122200220
420223301200
51040321243
6120443040
725230606
oct10536140
94248626
102276448
111315369
12919480
13619215
14433876
152ee783
hex22bc60

2276448 has 48 divisors (see below), whose sum is σ = 6241536. Its totient is φ = 725120.

The previous prime is 2276431. The next prime is 2276467. The reversal of 2276448 is 8446722.

2276448 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1693 + ... + 2723.

It is an arithmetic number, because the mean of its divisors is an integer number (130032).

22276448 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 2276448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120768).

2276448 is an abundant number, since it is smaller than the sum of its proper divisors (3965088).

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

2276448 is a wasteful number, since it uses less digits than its factorization.

2276448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 2276448 is about 1508.7902438709. The cubic root of 2276448 is about 131.5485033622.

The spelling of 2276448 in words is "two million, two hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1031 1104 2062 2208 3093 4124 6186 8248 12372 16496 23713 24744 32992 47426 49488 71139 94852 98976 142278 189704 284556 379408 569112 758816 1138224 2276448