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22145160 = 2335315953
BaseRepresentation
bin101010001111…
…0100010001000
31112200002110010
41110132202020
521132121120
62110351520
7356142102
oct124364210
945602403
1022145160
1111555a94
1274bb5a0
13478495b
142d26572
151e267e0
hex151e888

22145160 has 64 divisors (see below), whose sum is σ = 68590080. Its totient is φ = 5713920.

The previous prime is 22145153. The next prime is 22145161. The reversal of 22145160 is 6154122.

It is a super-2 number, since 2×221451602 = 980816222851200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22145161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744 + ... + 6696.

It is an arithmetic number, because the mean of its divisors is an integer number (1071720).

Almost surely, 222145160 is an apocalyptic number.

22145160 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 22145160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34295040).

22145160 is an abundant number, since it is smaller than the sum of its proper divisors (46444920).

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

22145160 is a wasteful number, since it uses less digits than its factorization.

22145160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5998 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 22145160 is about 4705.8644264364. The cubic root of 22145160 is about 280.8188614046.

Adding to 22145160 its reverse (6154122), we get a palindrome (28299282).

The spelling of 22145160 in words is "twenty-two million, one hundred forty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 5953 11906 17859 23812 29765 35718 47624 59530 71436 89295 119060 142872 178590 184543 238120 357180 369086 553629 714360 738172 922715 1107258 1476344 1845430 2214516 2768145 3690860 4429032 5536290 7381720 11072580 22145160