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22121300 = 22521571409
BaseRepresentation
bin101010001100…
…0101101010100
31112121212201102
41110120231110
521130340200
62110045232
7356012405
oct124305524
945555642
1022121300
111153a073
1274a9818
134776b36
142d1b9ac
151e1e6d5
hex1518b54

22121300 has 36 divisors (see below), whose sum is σ = 48343260. Its totient is φ = 8785920.

The previous prime is 22121293. The next prime is 22121303. The reversal of 22121300 is 312122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6739216 + 15382084 = 2596^2 + 3922^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14996 + ... + 16404.

Almost surely, 222121300 is an apocalyptic number.

22121300 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 22121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24171630).

22121300 is an abundant number, since it is smaller than the sum of its proper divisors (26221960).

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

22121300 is a wasteful number, since it uses less digits than its factorization.

22121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 22121300 is about 4703.3286085495. The cubic root of 22121300 is about 280.7179703465.

Adding to 22121300 its reverse (312122), we get a palindrome (22433422).

The spelling of 22121300 in words is "twenty-two million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1409 1570 2818 3140 3925 5636 7045 7850 14090 15700 28180 35225 70450 140900 221213 442426 884852 1106065 2212130 4424260 5530325 11060650 22121300