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22147072 = 2125407
BaseRepresentation
bin101010001111…
…1000000000000
31112200012001221
41110133000000
521132201242
62110404424
7356150503
oct124370000
945605057
1022147072
1111557472
127500714
13478579c
142d2713a
151e27167
hex151f000

22147072 has 26 divisors (see below), whose sum is σ = 44296928. Its totient is φ = 11071488.

The previous prime is 22147067. The next prime is 22147079. The reversal of 22147072 is 27074122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22147079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1393 + ... + 6799.

It is an arithmetic number, because the mean of its divisors is an integer number (1703728).

Almost surely, 222147072 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 22147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22148464).

22147072 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

22147072 is an frugal number, since it uses more digits than its factorization.

22147072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 22147072 is about 4706.0675728255. The cubic root of 22147072 is about 280.8269430834.

The spelling of 22147072 in words is "twenty-two million, one hundred forty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 5407 10814 21628 43256 86512 173024 346048 692096 1384192 2768384 5536768 11073536 22147072