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22828872 = 23311432011
BaseRepresentation
bin101011100010…
…1011101001000
31120221211022210
41113011131020
521321010442
62133145120
7365020323
oct127053510
946854283
1022828872
1111982740
12778b1a0
134963c11
1430637ba
15200e19c
hex15c5748

22828872 has 64 divisors (see below), whose sum is σ = 63740160. Its totient is φ = 6753600.

The previous prime is 22828859. The next prime is 22828873. The reversal of 22828872 is 27882822.

It is a self number, because there is not a number n which added to its sum of digits gives 22828872.

It is not an unprimeable number, because it can be changed into a prime (22828873) 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, 10347 + ... + 12357.

It is an arithmetic number, because the mean of its divisors is an integer number (995940).

Almost surely, 222828872 is an apocalyptic number.

22828872 is a gapful number since it is divisible by the number (22) 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 22828872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31870080).

22828872 is an abundant number, since it is smaller than the sum of its proper divisors (40911288).

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

22828872 is a wasteful number, since it uses less digits than its factorization.

22828872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2070 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 22828872 is about 4777.9568855317. The cubic root of 22828872 is about 283.6796294796.

The spelling of 22828872 in words is "twenty-two million, eight hundred twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2011 2838 3784 4022 5676 6033 8044 11352 12066 16088 22121 24132 44242 48264 66363 86473 88484 132726 172946 176968 259419 265452 345892 518838 530904 691784 951203 1037676 1902406 2075352 2853609 3804812 5707218 7609624 11414436 22828872