Search a number
-
+
22865128 = 23112132379
BaseRepresentation
bin101011100111…
…0010011101000
31121000200001121
41113032103220
521323141003
62134025024
7365231116
oct127162350
947020047
1022865128
11119a7a00
1277a8174
134977580
143072ab6
152019cbd
hex15ce4e8

22865128 has 96 divisors (see below), whose sum is σ = 53625600. Its totient is φ = 9060480.

The previous prime is 22865107. The next prime is 22865173. The reversal of 22865128 is 82156822.

Its product of digits (15360) is a multiple of the sum of its prime divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 22865093 and 22865102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289393 + ... + 289471.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 222865128 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 22865128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812800).

22865128 is an abundant number, since it is smaller than the sum of its proper divisors (30760472).

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

22865128 is a wasteful number, since it uses less digits than its factorization.

22865128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 22865128 is about 4781.7494706436. The cubic root of 22865128 is about 283.8297266700.

It can be divided in two parts, 228 and 65128, that added together give a palindrome (65356).

The spelling of 22865128 in words is "twenty-two million, eight hundred sixty-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 79 88 92 104 121 143 158 184 242 253 286 299 316 484 506 572 598 632 869 968 1012 1027 1144 1196 1573 1738 1817 2024 2054 2392 2783 3146 3289 3476 3634 4108 5566 6292 6578 6952 7268 8216 9559 11132 11297 12584 13156 14536 19118 19987 22264 22594 23621 26312 36179 38236 39974 45188 47242 72358 76472 79948 90376 94484 124267 144716 159896 188968 219857 248534 259831 289432 439714 497068 519662 879428 994136 1039324 1758856 2078648 2858141 5716282 11432564 22865128