Search a number
-
+
22344768 = 263367193
BaseRepresentation
bin101010100111…
…1010001000000
31120001020021000
41111033101000
521210013033
62114532000
7360633045
oct125172100
946036230
1022344768
1111681a56
127597000
134824774
142d791cc
151e65a13
hex154f440

22344768 has 112 divisors (see below), whose sum is σ = 67015360. Its totient is φ = 7299072.

The previous prime is 22344739. The next prime is 22344809. The reversal of 22344768 is 86744322.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115680 + ... + 115872.

Almost surely, 222344768 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 22344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33507680).

22344768 is an abundant number, since it is smaller than the sum of its proper divisors (44670592).

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

22344768 is a wasteful number, since it uses less digits than its factorization.

22344768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 22344768 is about 4727.0252802370. The cubic root of 22344768 is about 281.6600702601.

The spelling of 22344768 in words is "twenty-two million, three hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 134 144 192 193 201 216 268 288 386 402 432 536 576 579 603 772 804 864 1072 1158 1206 1544 1608 1728 1737 1809 2144 2316 2412 3088 3216 3474 3618 4288 4632 4824 5211 6176 6432 6948 7236 9264 9648 10422 12352 12864 12931 13896 14472 18528 19296 20844 25862 27792 28944 37056 38592 38793 41688 51724 55584 57888 77586 83376 103448 111168 115776 116379 155172 166752 206896 232758 310344 333504 349137 413792 465516 620688 698274 827584 931032 1241376 1396548 1862064 2482752 2793096 3724128 5586192 7448256 11172384 22344768