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22097472 = 263711621
BaseRepresentation
bin101010001001…
…0111001000000
31112120200000220
41110102321000
521124104342
62105343040
7355553055
oct124227100
945520026
1022097472
1111523181
127497a80
134769037
142d1302c
151e175ec
hex1512e40

22097472 has 56 divisors (see below), whose sum is σ = 59326272. Its totient is φ = 7257600.

The previous prime is 22097459. The next prime is 22097477. The reversal of 22097472 is 27479022.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22097477) 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, 12822 + ... + 14442.

Almost surely, 222097472 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 22097472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29663136).

22097472 is an abundant number, since it is smaller than the sum of its proper divisors (37228800).

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

22097472 is a wasteful number, since it uses less digits than its factorization.

22097472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 22097472 is about 4700.7948264097. The cubic root of 22097472 is about 280.6171421718.

The spelling of 22097472 in words is "twenty-two million, ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1621 1704 2272 3242 3408 4544 4863 6484 6816 9726 12968 13632 19452 25936 38904 51872 77808 103744 115091 155616 230182 311232 345273 460364 690546 920728 1381092 1841456 2762184 3682912 5524368 7365824 11048736 22097472