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2286152 = 231183313
BaseRepresentation
bin1000101110001001001000
311022011000022
420232021020
51041124102
6121000012
725301111
oct10561110
94264008
102286152
111321690
12923008
1362076b
14437208
153025a2
hex22e248

2286152 has 32 divisors (see below), whose sum is σ = 4747680. Its totient is φ = 1023360.

The previous prime is 2286149. The next prime is 2286169. The reversal of 2286152 is 2516822.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

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, 7148 + ... + 7460.

It is an arithmetic number, because the mean of its divisors is an integer number (148365).

22286152 is an apocalyptic number.

2286152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373840).

2286152 is an abundant number, since it is smaller than the sum of its proper divisors (2461528).

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

2286152 is a wasteful number, since it uses less digits than its factorization.

2286152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 2286152 is about 1512.0026455003. The cubic root of 2286152 is about 131.7351592226.

The spelling of 2286152 in words is "two million, two hundred eighty-six thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 83 88 166 313 332 626 664 913 1252 1826 2504 3443 3652 6886 7304 13772 25979 27544 51958 103916 207832 285769 571538 1143076 2286152