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22057160 = 23517163199
BaseRepresentation
bin101010000100…
…1000011001000
31112111121201212
41110021003020
521121312120
62104432252
7355324406
oct124110310
945447655
1022057160
11114a5964
127478688
134753898
142d02476
151e0a6c5
hex15090c8

22057160 has 64 divisors (see below), whose sum is σ = 53136000. Its totient is φ = 8211456.

The previous prime is 22057103. The next prime is 22057163. The reversal of 22057160 is 6175022.

It is not an unprimeable number, because it can be changed into a prime (22057163) 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, 110741 + ... + 110939.

It is an arithmetic number, because the mean of its divisors is an integer number (830250).

Almost surely, 222057160 is an apocalyptic number.

22057160 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 22057160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26568000).

22057160 is an abundant number, since it is smaller than the sum of its proper divisors (31078840).

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

22057160 is a wasteful number, since it uses less digits than its factorization.

22057160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 22057160 is about 4696.5050835701. The cubic root of 22057160 is about 280.4463967864.

The spelling of 22057160 in words is "twenty-two million, fifty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 163 170 199 326 340 398 652 680 796 815 995 1304 1592 1630 1990 2771 3260 3383 3980 5542 6520 6766 7960 11084 13532 13855 16915 22168 27064 27710 32437 33830 55420 64874 67660 110840 129748 135320 162185 259496 324370 551429 648740 1102858 1297480 2205716 2757145 4411432 5514290 11028580 22057160