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22145136 = 24313231543
BaseRepresentation
bin101010001111…
…0100001110000
31112200002102020
41110132201300
521132121021
62110351440
7356142036
oct124364160
945602366
1022145136
1111555a72
1274bb580
134784940
142d26556
151e267c6
hex151e870

22145136 has 80 divisors (see below), whose sum is σ = 64329216. Its totient is φ = 6513408.

The previous prime is 22145111. The next prime is 22145141. The reversal of 22145136 is 63154122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 13581 + ... + 15123.

Almost surely, 222145136 is an apocalyptic number.

22145136 is a gapful number since it is divisible by the number (26) 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 22145136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32164608).

22145136 is an abundant number, since it is smaller than the sum of its proper divisors (42184080).

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

22145136 is a wasteful number, since it uses less digits than its factorization.

22145136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 22145136 is about 4705.8618764260. The cubic root of 22145136 is about 280.8187599580.

Adding to 22145136 its reverse (63154122), we get a palindrome (85299258).

The spelling of 22145136 in words is "twenty-two million, one hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1543 1794 2392 3086 3588 4629 4784 6172 7176 9258 12344 14352 18516 20059 24688 35489 37032 40118 60177 70978 74064 80236 106467 120354 141956 160472 212934 240708 283912 320944 425868 461357 481416 567824 851736 922714 962832 1384071 1703472 1845428 2768142 3690856 5536284 7381712 11072568 22145136