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22242540 = 223519109179
BaseRepresentation
bin101010011011…
…0010011101100
31112212001000210
41110312103230
521143230130
62112422420
7360026025
oct124662354
945761023
1022242540
1111612171
127547a10
1347ba088
142d4dc4c
151e455b0
hex15364ec

22242540 has 96 divisors (see below), whose sum is σ = 66528000. Its totient is φ = 5536512.

The previous prime is 22242533. The next prime is 22242553. The reversal of 22242540 is 4524222.

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 31 ways as a sum of consecutive naturals, for example, 124171 + ... + 124349.

It is an arithmetic number, because the mean of its divisors is an integer number (693000).

Almost surely, 222242540 is an apocalyptic number.

22242540 is a gapful number since it is divisible by the number (20) 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 22242540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264000).

22242540 is an abundant number, since it is smaller than the sum of its proper divisors (44285460).

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

22242540 is a wasteful number, since it uses less digits than its factorization.

22242540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 22242540 is about 4716.1997413172. The cubic root of 22242540 is about 281.2298790544.

Adding to 22242540 its reverse (4524222), we get a palindrome (26766762).

The spelling of 22242540 in words is "twenty-two million, two hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 109 114 179 190 218 228 285 327 358 380 436 537 545 570 654 716 895 1074 1090 1140 1308 1635 1790 2071 2148 2180 2685 3270 3401 3580 4142 5370 6213 6540 6802 8284 10203 10355 10740 12426 13604 17005 19511 20406 20710 24852 31065 34010 39022 40812 41420 51015 58533 62130 68020 78044 97555 102030 117066 124260 195110 204060 234132 292665 370709 390220 585330 741418 1112127 1170660 1482836 1853545 2224254 3707090 4448508 5560635 7414180 11121270 22242540