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22868352 = 273313509
BaseRepresentation
bin101011100111…
…1000110000000
31121000211111000
41113033012000
521323241402
62134052000
7365243403
oct127170600
947024430
1022868352
11119aa371
1277aa000
134978b90
143073d3a
15201ac1c
hex15cf180

22868352 has 128 divisors (see below), whose sum is σ = 72828000. Its totient is φ = 7022592.

The previous prime is 22868347. The next prime is 22868353. The reversal of 22868352 is 25386822.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22868353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44674 + ... + 45182.

Almost surely, 222868352 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 22868352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36414000).

22868352 is an abundant number, since it is smaller than the sum of its proper divisors (49959648).

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

22868352 is a wasteful number, since it uses less digits than its factorization.

22868352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 527 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 22868352 is about 4782.0865738713. The cubic root of 22868352 is about 283.8430661104.

It can be divided in two parts, 22868 and 352, that added together give a triangular number (23220 = T215).

The spelling of 22868352 in words is "twenty-two million, eight hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 509 576 624 702 832 864 936 1018 1152 1248 1404 1527 1664 1728 1872 2036 2496 2808 3054 3456 3744 4072 4581 4992 5616 6108 6617 7488 8144 9162 11232 12216 13234 13743 14976 16288 18324 19851 22464 24432 26468 27486 32576 36648 39702 44928 48864 52936 54972 59553 65152 73296 79404 97728 105872 109944 119106 146592 158808 178659 195456 211744 219888 238212 293184 317616 357318 423488 439776 476424 586368 635232 714636 846976 879552 952848 1270464 1429272 1759104 1905696 2540928 2858544 3811392 5717088 7622784 11434176 22868352