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22161280 = 275311117
BaseRepresentation
bin101010010001…
…0011110000000
31112200220120011
41110202132000
521133130110
62110554304
7356240101
oct124423600
945626504
1022161280
1111567109
127508994
13478c0ab
142d2c3a8
151e2b48a
hex1522780

22161280 has 64 divisors (see below), whose sum is σ = 54737280. Its totient is φ = 8570880.

The previous prime is 22161241. The next prime is 22161281. The reversal of 22161280 is 8216122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×221612802 = 982244662476800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22161281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19282 + ... + 20398.

It is an arithmetic number, because the mean of its divisors is an integer number (855270).

Almost surely, 222161280 is an apocalyptic number.

22161280 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 22161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27368640).

22161280 is an abundant number, since it is smaller than the sum of its proper divisors (32576000).

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

22161280 is a wasteful number, since it uses less digits than its factorization.

22161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 22161280 is about 4707.5768713851. The cubic root of 22161280 is about 280.8869831688.

The spelling of 22161280 in words is "twenty-two million, one hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1117 1240 1984 2234 2480 3968 4468 4960 5585 8936 9920 11170 17872 19840 22340 34627 35744 44680 69254 71488 89360 138508 142976 173135 178720 277016 346270 357440 554032 692540 714880 1108064 1385080 2216128 2770160 4432256 5540320 11080640 22161280