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23444900 = 2252972417
BaseRepresentation
bin101100101101…
…1110110100100
31122010010100122
41121123312210
522000214100
62154301112
7403164323
oct131336644
948103318
1023444900
1112263556
127a27798
134b1b42b
1431840ba
1520d1985
hex165bda4

23444900 has 36 divisors (see below), whose sum is σ = 51421188. Its totient is φ = 9277440.

The previous prime is 23444891. The next prime is 23444903. The reversal of 23444900 is 944432.

It can be written as a sum of positive squares in 6 ways, for example, as 481636 + 22963264 = 694^2 + 4792^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23444900.

It is not an unprimeable number, because it can be changed into a prime (23444903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8492 + ... + 10908.

Almost surely, 223444900 is an apocalyptic number.

23444900 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 23444900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25710594).

23444900 is an abundant number, since it is smaller than the sum of its proper divisors (27976288).

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

23444900 is a wasteful number, since it uses less digits than its factorization.

23444900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 23444900 is about 4841.9933911562. The cubic root of 23444900 is about 286.2086761727.

The spelling of 23444900 in words is "twenty-three million, four hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2417 2425 4834 4850 9668 9700 12085 24170 48340 60425 120850 234449 241700 468898 937796 1172245 2344490 4688980 5861225 11722450 23444900