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22166460 = 223554561
BaseRepresentation
bin101010010001…
…1101110111100
31112201011200000
41110203232330
521133311320
62111034300
7356261151
oct124435674
945634600
1022166460
111156aa98
12750b990
134791564
142d30228
151e2cc90
hex1523bbc

22166460 has 72 divisors (see below), whose sum is σ = 69743856. Its totient is φ = 5909760.

The previous prime is 22166447. The next prime is 22166461. The reversal of 22166460 is 6466122.

It is a happy number.

22166460 is a `hidden beast` number, since 2 + 2 + 16 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22166461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580 + ... + 7140.

Almost surely, 222166460 is an apocalyptic number.

22166460 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 22166460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34871928).

22166460 is an abundant number, since it is smaller than the sum of its proper divisors (47577396).

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

22166460 is a wasteful number, since it uses less digits than its factorization.

22166460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 22166460 is about 4708.1270161286. The cubic root of 22166460 is about 280.9088663997.

The spelling of 22166460 in words is "twenty-two million, one hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4561 4860 9122 13683 18244 22805 27366 41049 45610 54732 68415 82098 91220 123147 136830 164196 205245 246294 273660 369441 410490 492588 615735 738882 820980 1108323 1231470 1477764 1847205 2216646 2462940 3694410 4433292 5541615 7388820 11083230 22166460