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22166368 = 257175821
BaseRepresentation
bin101010010001…
…1101101100000
31112201011112121
41110203231200
521133310433
62111034024
7356260660
oct124435540
945634477
1022166368
111156aa14
12750b914
1347914c3
142d301a0
151e2cc2d
hex1523b60

22166368 has 48 divisors (see below), whose sum is σ = 52817184. Its totient is φ = 8939520.

The previous prime is 22166341. The next prime is 22166381. The reversal of 22166368 is 86366122.

It is a happy number.

It is a super-2 number, since 2×221663682 = 982695740622848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 898 + ... + 6718.

It is an arithmetic number, because the mean of its divisors is an integer number (1100358).

Almost surely, 222166368 is an apocalyptic number.

22166368 is a gapful number since it is divisible by the number (28) 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 22166368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26408592).

22166368 is an abundant number, since it is smaller than the sum of its proper divisors (30650816).

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

22166368 is a wasteful number, since it uses less digits than its factorization.

22166368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855 (or 5847 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 22166368 is about 4708.1172457788. The cubic root of 22166368 is about 280.9084777697.

The spelling of 22166368 in words is "twenty-two million, one hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 5821 11642 23284 40747 46568 81494 93136 98957 162988 186272 197914 325976 395828 651952 692699 791656 1303904 1385398 1583312 2770796 3166624 5541592 11083184 22166368