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22505028 = 22371337557
BaseRepresentation
bin101010111011…
…0011001000100
31120100101002120
41111312121010
521230130103
62122205540
7362201220
oct125663104
946311076
1022505028
11117813a7
1276538b0
13487c6b0
142dbb780
151e98253
hex1576644

22505028 has 96 divisors (see below), whose sum is σ = 66495744. Its totient is φ = 5764608.

The previous prime is 22505027. The next prime is 22505033. The reversal of 22505028 is 82050522.

It is a junction number, because it is equal to n+sod(n) for n = 22504989 and 22505007.

It is not an unprimeable number, because it can be changed into a prime (22505027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40126 + ... + 40682.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 222505028 is an apocalyptic number.

22505028 is a gapful number since it is divisible by the number (28) 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 22505028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33247872).

22505028 is an abundant number, since it is smaller than the sum of its proper divisors (43990716).

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

22505028 is a wasteful number, since it uses less digits than its factorization.

22505028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 22505028 is about 4743.9464583825. The cubic root of 22505028 is about 282.3318361165.

The spelling of 22505028 in words is "twenty-two million, five hundred five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 182 222 259 273 364 444 481 518 546 557 777 962 1036 1092 1114 1443 1554 1671 1924 2228 2886 3108 3342 3367 3899 5772 6684 6734 7241 7798 10101 11697 13468 14482 15596 20202 20609 21723 23394 28964 40404 41218 43446 46788 50687 61827 82436 86892 101374 123654 144263 152061 202748 247308 267917 288526 304122 432789 535834 577052 608244 803751 865578 1071668 1607502 1731156 1875419 3215004 3750838 5626257 7501676 11252514 22505028