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244625920 = 2957111773
BaseRepresentation
bin11101001010010…
…11001000000000
3122001022021200021
432211023020000
51000111012140
640135103224
76030200050
oct1645131000
9561267607
10244625920
111160a3090
1269b11b14
133b8b0586
14246bb560
1516721b4a
hexe94b200

244625920 has 320 divisors, whose sum is σ = 784878336. Its totient is φ = 70778880.

The previous prime is 244625879. The next prime is 244625923. The reversal of 244625920 is 29526442.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (244625923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3351004 + ... + 3351076.

Almost surely, 2244625920 is an apocalyptic number.

244625920 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 244625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392439168).

244625920 is an abundant number, since it is smaller than the sum of its proper divisors (540252416).

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

244625920 is a wasteful number, since it uses less digits than its factorization.

244625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 244625920 is about 15640.5217304283. The cubic root of 244625920 is about 625.4138443121.

The spelling of 244625920 in words is "two hundred forty-four million, six hundred twenty-five thousand, nine hundred twenty".