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22191372 = 22327107823
BaseRepresentation
bin101010010100…
…1110100001100
31112202102211200
41110221310030
521140110442
62111345500
7356423610
oct124516414
945672750
1022191372
1111587785
127522290
13479c9b8
142d39340
151e3534c
hex1529d0c

22191372 has 72 divisors (see below), whose sum is σ = 64786176. Its totient is φ = 6273504.

The previous prime is 22191361. The next prime is 22191391. The reversal of 22191372 is 27319122.

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

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 23 ways as a sum of consecutive naturals, for example, 26553 + ... + 27375.

It is an arithmetic number, because the mean of its divisors is an integer number (899808).

Almost surely, 222191372 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 22191372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32393088).

22191372 is an abundant number, since it is smaller than the sum of its proper divisors (42594804).

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

22191372 is a wasteful number, since it uses less digits than its factorization.

22191372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 942 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 22191372 is about 4710.7719112689. The cubic root of 22191372 is about 281.0140610906.

The spelling of 22191372 in words is "twenty-two million, one hundred ninety-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 823 963 1284 1498 1646 1926 2247 2469 2996 3292 3852 4494 4938 5761 6741 7407 8988 9876 11522 13482 14814 17283 23044 26964 29628 34566 51849 69132 88061 103698 176122 207396 264183 352244 528366 616427 792549 1056732 1232854 1585098 1849281 2465708 3170196 3698562 5547843 7397124 11095686 22191372