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2225712 = 24389521
BaseRepresentation
bin1000011111011000110000
311012002002210
420133120300
51032210322
6115412120
724626646
oct10373060
94162083
102225712
111290235
128b4040
135cc0b8
1441d196
152de70c
hex21f630

2225712 has 40 divisors (see below), whose sum is σ = 5825520. Its totient is φ = 732160.

The previous prime is 2225701. The next prime is 2225747. The reversal of 2225712 is 2175222.

It is a happy 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, 4012 + ... + 4532.

It is an arithmetic number, because the mean of its divisors is an integer number (145638).

22225712 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 2225712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912760).

2225712 is an abundant number, since it is smaller than the sum of its proper divisors (3599808).

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

2225712 is a wasteful number, since it uses less digits than its factorization.

2225712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 2225712 is about 1491.8820328699. The cubic root of 2225712 is about 130.5638624026.

The spelling of 2225712 in words is "two million, two hundred twenty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 521 534 712 1042 1068 1424 1563 2084 2136 3126 4168 4272 6252 8336 12504 25008 46369 92738 139107 185476 278214 370952 556428 741904 1112856 2225712