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22133540 = 225111371109
BaseRepresentation
bin101010001101…
…1101100100100
31112122111111202
41110123230210
521131233130
62110222032
7356063162
oct124335444
945574452
1022133540
1111548290
1274b4918
13477c590
142d22232
151e23145
hex151bb24

22133540 has 96 divisors (see below), whose sum is σ = 55883520. Its totient is φ = 7257600.

The previous prime is 22133539. The next prime is 22133543. The reversal of 22133540 is 4533122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22133543) 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, 203006 + ... + 203114.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 222133540 is an apocalyptic number.

22133540 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 22133540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941760).

22133540 is an abundant number, since it is smaller than the sum of its proper divisors (33749980).

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

22133540 is a wasteful number, since it uses less digits than its factorization.

22133540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 22133540 is about 4704.6296347322. The cubic root of 22133540 is about 280.7697357555.

Adding to 22133540 its reverse (4533122), we get a palindrome (26666662).

The spelling of 22133540 in words is "twenty-two million, one hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 71 109 110 130 142 143 218 220 260 284 286 355 436 545 572 710 715 781 923 1090 1199 1417 1420 1430 1562 1846 2180 2398 2834 2860 3124 3692 3905 4615 4796 5668 5995 7085 7739 7810 9230 10153 11990 14170 15478 15587 15620 18460 20306 23980 28340 30956 31174 38695 40612 50765 62348 77390 77935 85129 100607 101530 154780 155870 170258 201214 203060 311740 340516 402428 425645 503035 851290 1006070 1106677 1702580 2012140 2213354 4426708 5533385 11066770 22133540