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244420000 = 2554112101
BaseRepresentation
bin11101001000110…
…00110110100000
3122000220211012121
432210120312200
51000032420000
640130434024
76025351516
oct1644306640
9560824177
10244420000
11115a72400
1269a32914
133b83a926
14246664b6
15166d0b1a
hexe918da0

244420000 has 180 divisors, whose sum is σ = 667487898. Its totient is φ = 88000000.

The previous prime is 244419979. The next prime is 244420021. The reversal of 244420000 is 24442.

It is an interprime number because it is at equal distance from previous prime (244419979) and next prime (244420021).

It can be written as a sum of positive squares in 5 ways, for example, as 37405456 + 207014544 = 6116^2 + 14388^2 .

It is a super-2 number, since 2×2444200002 = 119482272800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2419950 + ... + 2420050.

Almost surely, 2244420000 is an apocalyptic number.

244420000 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 244420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333743949).

244420000 is an abundant number, since it is smaller than the sum of its proper divisors (423067898).

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

244420000 is a wasteful number, since it uses less digits than its factorization.

244420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 244420000 is about 15633.9374439071. The cubic root of 244420000 is about 625.2383091225.

Adding to 244420000 its reverse (24442), we get a palindrome (244444442).

Multiplying 244420000 by its reverse (24442), we get a square (5974113640000 = 24442002).

244420000 divided by its reverse (24442) gives a 4-th power (10000 = 104).

The spelling of 244420000 in words is "two hundred forty-four million, four hundred twenty thousand".