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244220832 = 253619229
BaseRepresentation
bin11101000111010…
…00001110100000
3122000112201000000
432203220032200
51000010031312
640122300000
76023562042
oct1643501640
9560481000
10244220832
111159467a9
1269957600
133b79b08b
1424613a92
1516691adc
hexe8e83a0

244220832 has 252 divisors, whose sum is σ = 787058370. Its totient is φ = 74462976.

The previous prime is 244220797. The next prime is 244220833. The reversal of 244220832 is 238022442.

It can be written as a sum of positive squares in only one way, i.e., 206324496 + 37896336 = 14364^2 + 6156^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 244220796 and 244220805.

It is not an unprimeable number, because it can be changed into a prime (244220833) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 8421394 + ... + 8421422.

Almost surely, 2244220832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244220832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393529185).

244220832 is an abundant number, since it is smaller than the sum of its proper divisors (542837538).

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

244220832 is an equidigital number, since it uses as much as digits as its factorization.

244220832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 244220832 is about 15627.5664132327. The cubic root of 244220832 is about 625.0684358129.

The spelling of 244220832 in words is "two hundred forty-four million, two hundred twenty thousand, eight hundred thirty-two".