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244429920 = 25335759137
BaseRepresentation
bin11101001000110…
…11010001100000
3122000221022211000
432210123101200
51000033224140
640130552000
76025422450
oct1644332140
9560838730
10244429920
11115a798a9
1269a38600
133b8422b7
1424669d60
15166d3a30
hexe91b460

244429920 has 384 divisors, whose sum is σ = 1001548800. Its totient is φ = 54521856.

The previous prime is 244429907. The next prime is 244429921. The reversal of 244429920 is 29924442.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244429921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1784092 + ... + 1784228.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 2244429920 is an apocalyptic number.

244429920 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 244429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500774400).

244429920 is an abundant number, since it is smaller than the sum of its proper divisors (757118880).

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

244429920 is a wasteful number, since it uses less digits than its factorization.

244429920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 244429920 is about 15634.2546992174. The cubic root of 244429920 is about 625.2467676230.

The spelling of 244429920 in words is "two hundred forty-four million, four hundred twenty-nine thousand, nine hundred twenty".