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22147020 = 223657231
BaseRepresentation
bin101010001111…
…0111111001100
31112200012000000
41110132333030
521132201040
62110404300
7356150400
oct124367714
945605000
1022147020
1111557425
127500690
13478575c
142d27100
151e27130
hex151efcc

22147020 has 252 divisors, whose sum is σ = 83732544. Its totient is φ = 4898880.

The previous prime is 22147003. The next prime is 22147031. The reversal of 22147020 is 2074122.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22146984 and 22147002.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 714405 + ... + 714435.

It is an arithmetic number, because the mean of its divisors is an integer number (332272).

Almost surely, 222147020 is an apocalyptic number.

22147020 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 22147020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41866272).

22147020 is an abundant number, since it is smaller than the sum of its proper divisors (61585524).

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

22147020 is a wasteful number, since it uses less digits than its factorization.

22147020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 22147020 is about 4706.0620480397. The cubic root of 22147020 is about 280.8267232950.

The spelling of 22147020 in words is "twenty-two million, one hundred forty-seven thousand, twenty".