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112233440 = 25511431483
BaseRepresentation
bin1101011000010…
…00101111100000
321211012001100002
412230020233200
5212212432230
615045315132
72531653124
oct654105740
9254161302
10112233440
1158397710
1231705aa8
131a337b27
1410c97584
159cbe545
hex6b08be0

112233440 has 96 divisors (see below), whose sum is σ = 296182656. Its totient is φ = 39836160.

The previous prime is 112233427. The next prime is 112233449. The reversal of 112233440 is 44332211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112233449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74939 + ... + 76421.

It is an arithmetic number, because the mean of its divisors is an integer number (3085236).

Almost surely, 2112233440 is an apocalyptic number.

112233440 is a gapful number since it is divisible by the number (10) 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 112233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148091328).

112233440 is an abundant number, since it is smaller than the sum of its proper divisors (183949216).

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

112233440 is a wasteful number, since it uses less digits than its factorization.

112233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 112233440 is about 10594.0285066636. The cubic root of 112233440 is about 482.3631154378.

Adding to 112233440 its reverse (44332211), we get a palindrome (156565651).

The spelling of 112233440 in words is "one hundred twelve million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 80 86 88 110 160 172 176 215 220 344 352 430 440 473 688 860 880 946 1376 1483 1720 1760 1892 2365 2966 3440 3784 4730 5932 6880 7415 7568 9460 11864 14830 15136 16313 18920 23728 29660 32626 37840 47456 59320 63769 65252 75680 81565 118640 127538 130504 163130 237280 255076 261008 318845 326260 510152 522016 637690 652520 701459 1020304 1275380 1305040 1402918 2040608 2550760 2610080 2805836 3507295 5101520 5611672 7014590 10203040 11223344 14029180 22446688 28058360 56116720 112233440