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22620000 = 253541329
BaseRepresentation
bin101011001001…
…0011101100000
31120120012210210
41112102131200
521242320000
62124454120
7363160344
oct126223540
946505723
1022620000
111184a817
1276aa340
1348bcb20
14300b624
151ebc350
hex1592760

22620000 has 240 divisors, whose sum is σ = 82661040. Its totient is φ = 5376000.

The previous prime is 22619981. The next prime is 22620011. The reversal of 22620000 is 2622.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) 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 39 ways as a sum of consecutive naturals, for example, 779986 + ... + 780014.

It is an arithmetic number, because the mean of its divisors is an integer number (344421).

Almost surely, 222620000 is an apocalyptic number.

22620000 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 22620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41330520).

22620000 is an abundant number, since it is smaller than the sum of its proper divisors (60041040).

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

22620000 is a wasteful number, since it uses less digits than its factorization.

22620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 22620000 is about 4756.0487802376. The cubic root of 22620000 is about 282.8118049391.

Adding to 22620000 its reverse (2622), we get a palindrome (22622622).

The spelling of 22620000 in words is "twenty-two million, six hundred twenty thousand".