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2238912 = 263213223
BaseRepresentation
bin1000100010100111000000
311012202012200
420202213000
51033121122
6115553200
725013304
oct10424700
94182180
102238912
11129a145
128bb800
13605100
14423d04
152e35ac
hex2229c0

2238912 has 126 divisors (see below), whose sum is σ = 7251192. Its totient is φ = 658944.

The previous prime is 2238823. The next prime is 2238931. The reversal of 2238912 is 2198322.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97333 + ... + 97355.

22238912 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 2238912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625596).

2238912 is an abundant number, since it is smaller than the sum of its proper divisors (5012280).

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

2238912 is a wasteful number, since it uses less digits than its factorization.

2238912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2238912 is about 1496.2994352736. The cubic root of 2238912 is about 130.8214649283.

The spelling of 2238912 in words is "two million, two hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 64 69 72 78 92 96 104 117 138 144 156 169 184 192 207 208 234 276 288 299 312 338 368 414 416 468 507 552 576 598 624 676 736 828 832 897 936 1014 1104 1196 1248 1352 1472 1521 1656 1794 1872 2028 2208 2392 2496 2691 2704 3042 3312 3588 3744 3887 4056 4416 4784 5382 5408 6084 6624 7176 7488 7774 8112 9568 10764 10816 11661 12168 13248 14352 15548 16224 19136 21528 23322 24336 28704 31096 32448 34983 43056 46644 48672 57408 62192 69966 86112 93288 97344 124384 139932 172224 186576 248768 279864 373152 559728 746304 1119456 2238912