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22194864 = 243383619
BaseRepresentation
bin101010010101…
…0101010110000
31112202121122000
41110222222300
521140213424
62111414000
7356440026
oct124525260
945677560
1022194864
111158a36a
127524300
1347a1473
142d3a716
151e363c9
hex152aab0

22194864 has 80 divisors (see below), whose sum is σ = 64579200. Its totient is φ = 7297344.

The previous prime is 22194859. The next prime is 22194883. The reversal of 22194864 is 46849122.

It is a super-2 number, since 2×221948642 = 985223975956992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 15 ways as a sum of consecutive naturals, for example, 35547 + ... + 36165.

It is an arithmetic number, because the mean of its divisors is an integer number (807240).

Almost surely, 222194864 is an apocalyptic number.

22194864 is a gapful number since it is divisible by the number (24) 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 22194864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32289600).

22194864 is an abundant number, since it is smaller than the sum of its proper divisors (42384336).

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

22194864 is a wasteful number, since it uses less digits than its factorization.

22194864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 707 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 22194864 is about 4711.1425365828. The cubic root of 22194864 is about 281.0288002970.

The spelling of 22194864 in words is "twenty-two million, one hundred ninety-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 619 664 747 996 1238 1328 1494 1857 1992 2241 2476 2988 3714 3984 4482 4952 5571 5976 7428 8964 9904 11142 11952 14856 16713 17928 22284 29712 33426 35856 44568 51377 66852 89136 102754 133704 154131 205508 267408 308262 411016 462393 616524 822032 924786 1233048 1387179 1849572 2466096 2774358 3699144 5548716 7398288 11097432 22194864