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2044242300 = 22352192331503
BaseRepresentation
bin111100111011000…
…1010100101111100
312021110121021020210
41321312022211330
513141311223200
6534503112420
7101441526042
oct17166124574
95243537223
102044242300
11959a15551
12490742710
13267697b39
141556d4392
15be701650
hex79d8a97c

2044242300 has 288 divisors, whose sum is σ = 6719569920. Its totient is φ = 477100800.

The previous prime is 2044242289. The next prime is 2044242397. The reversal of 2044242300 is 32424402.

2044242300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20442423002 = 8357853162218580000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4063849 + ... + 4064351.

It is an arithmetic number, because the mean of its divisors is an integer number (23331840).

Almost surely, 22044242300 is an apocalyptic number.

2044242300 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 2044242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359784960).

2044242300 is an abundant number, since it is smaller than the sum of its proper divisors (4675327620).

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

2044242300 is a wasteful number, since it uses less digits than its factorization.

2044242300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2044242300 is about 45213.2978226539. The cubic root of 2044242300 is about 1269.1436763578.

Adding to 2044242300 its reverse (32424402), we get a palindrome (2076666702).

The spelling of 2044242300 in words is "two billion, forty-four million, two hundred forty-two thousand, three hundred".