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2238944 = 25313761
BaseRepresentation
bin1000100010100111100000
311012202020212
420202213200
51033121234
6115553252
725013351
oct10424740
94182225
102238944
11129a174
128bb828
13605126
14423d28
152e35ce
hex2229e0

2238944 has 48 divisors (see below), whose sum is σ = 4749696. Its totient is φ = 1036800.

The previous prime is 2238937. The next prime is 2238947. The reversal of 2238944 is 4498322.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 213 + 217 + 37 + 87 + 92 + 4 + 44 .

It is a self number, because there is not a number n which added to its sum of digits gives 2238944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238947) 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, 36674 + ... + 36734.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

22238944 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 2238944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374848).

2238944 is an abundant number, since it is smaller than the sum of its proper divisors (2510752).

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

2238944 is a wasteful number, since it uses less digits than its factorization.

2238944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 2238944 is about 1496.3101282822. The cubic root of 2238944 is about 130.8220881874.

The spelling of 2238944 in words is "two million, two hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 31 32 37 61 62 74 122 124 148 244 248 296 488 496 592 976 992 1147 1184 1891 1952 2257 2294 3782 4514 4588 7564 9028 9176 15128 18056 18352 30256 36112 36704 60512 69967 72224 139934 279868 559736 1119472 2238944