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22166328 = 2334347457
BaseRepresentation
bin101010010001…
…1101100111000
31112201011111010
41110203230320
521133310303
62111033520
7356260602
oct124435470
945634433
1022166328
111156a988
12750b8a0
134791492
142d30172
151e2cc03
hex1523b38

22166328 has 64 divisors (see below), whose sum is σ = 58037760. Its totient is φ = 7047936.

The previous prime is 22166327. The next prime is 22166341. The reversal of 22166328 is 82366122.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22166295 and 22166304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22166327) 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, 48276 + ... + 48732.

It is an arithmetic number, because the mean of its divisors is an integer number (906840).

Almost surely, 222166328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22166328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29018880).

22166328 is an abundant number, since it is smaller than the sum of its proper divisors (35871432).

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

22166328 is a wasteful number, since it uses less digits than its factorization.

22166328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 552 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 22166328 is about 4708.1129977943. The cubic root of 22166328 is about 280.9083087999.

The spelling of 22166328 in words is "twenty-two million, one hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 47 86 94 129 141 172 188 258 282 344 376 457 516 564 914 1032 1128 1371 1828 2021 2742 3656 4042 5484 6063 8084 10968 12126 16168 19651 21479 24252 39302 42958 48504 58953 64437 78604 85916 117906 128874 157208 171832 235812 257748 471624 515496 923597 1847194 2770791 3694388 5541582 7388776 11083164 22166328