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22828512 = 2537223211
BaseRepresentation
bin101011100010…
…1010111100000
31120221210211110
41113011113200
521321003022
62133143320
7365016300
oct127052740
946853743
1022828512
1111982443
12778ab40
1349639c5
143063600
15200e00c
hex15c55e0

22828512 has 144 divisors (see below), whose sum is σ = 73084032. Its totient is φ = 6209280.

The previous prime is 22828499. The next prime is 22828517. The reversal of 22828512 is 21582822.

It is a super-2 number, since 2×228285122 = 1042281920268288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22828512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22828517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108087 + ... + 108297.

It is an arithmetic number, because the mean of its divisors is an integer number (507528).

Almost surely, 222828512 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 22828512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36542016).

22828512 is an abundant number, since it is smaller than the sum of its proper divisors (50255520).

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

22828512 is a wasteful number, since it uses less digits than its factorization.

22828512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 22828512 is about 4777.9192123769. The cubic root of 22828512 is about 283.6781383094.

The spelling of 22828512 in words is "twenty-two million, eight hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 211 224 276 294 322 336 368 392 422 483 552 588 633 644 672 736 784 844 966 1104 1127 1176 1266 1288 1477 1568 1688 1932 2208 2254 2352 2532 2576 2954 3376 3381 3864 4431 4508 4704 4853 5064 5152 5908 6752 6762 7728 8862 9016 9706 10128 10339 11816 13524 14559 15456 17724 18032 19412 20256 20678 23632 27048 29118 31017 33971 35448 36064 38824 41356 47264 54096 58236 62034 67942 70896 77648 82712 101913 108192 116472 124068 135884 141792 155296 165424 203826 232944 237797 248136 271768 330848 407652 465888 475594 496272 543536 713391 815304 951188 992544 1087072 1426782 1630608 1902376 2853564 3261216 3804752 5707128 7609504 11414256 22828512