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2245144 = 231131823
BaseRepresentation
bin1000100100001000011000
311020001202111
420210020120
51033321034
6120042104
725040416
oct10441030
94201674
102245144
1112a38a0
12903334
13607bb5
144262b6
152e5364
hex224218

2245144 has 32 divisors (see below), whose sum is σ = 4746240. Its totient is φ = 986400.

The previous prime is 2245141. The next prime is 2245147. The reversal of 2245144 is 4415422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2245141) and next prime (2245147).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2317 + ... + 3139.

It is an arithmetic number, because the mean of its divisors is an integer number (148320).

22245144 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 2245144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373120).

2245144 is an abundant number, since it is smaller than the sum of its proper divisors (2501096).

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

2245144 is a wasteful number, since it uses less digits than its factorization.

2245144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 867 counting only the distinct ones).

The product of its digits is 1280, while the sum is 22.

The square root of 2245144 is about 1498.3804590290. The cubic root of 2245144 is about 130.9427327726.

The spelling of 2245144 in words is "two million, two hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 823 1364 1646 2728 3292 6584 9053 18106 25513 36212 51026 72424 102052 204104 280643 561286 1122572 2245144