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22050000 = 24325572
BaseRepresentation
bin101010000011…
…1010011010000
31112111020220200
41110013103100
521121100000
62104335200
7355264500
oct124072320
945436820
1022050000
11114a0545
127474500
13475054b
142cdda00
151e08500
hex15074d0

22050000 has 270 divisors, whose sum is σ = 89724726. Its totient is φ = 5040000.

The previous prime is 22049999. The next prime is 22050001. The reversal of 22050000 is 5022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (22049999) and next prime (22050001).

It can be written as a sum of positive squares in 3 ways, for example, as 10188864 + 11861136 = 3192^2 + 3444^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 not an unprimeable number, because it can be changed into a prime (22050001) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3149997 + ... + 3150003.

Almost surely, 222050000 is an apocalyptic number.

22050000 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 22050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44862363).

22050000 is an abundant number, since it is smaller than the sum of its proper divisors (67674726).

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

22050000 is an equidigital number, since it uses as much as digits as its factorization.

22050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 22050000 is about 4695.7427527496. The cubic root of 22050000 is about 280.4160481602.

Multiplying 22050000 by its product of nonzero digits (20), we get a square (441000000 = 210002).

22050000 divided by its product of nonzero digits (20) gives a square (1102500 = 10502).

Adding to 22050000 its reverse (5022), we get a palindrome (22055022).

The spelling of 22050000 in words is "twenty-two million, fifty thousand".