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22440246444 = 223271141474201
BaseRepresentation
bin10100111001100010…
…101111110010101100
32010220220021122001200
4110321202233302230
5331424200341234
614150420205500
71423042643010
oct247142576254
963826248050
1022440246444
119575a30320
124423239890
132168115345
14112c420540
158b50e1d99
hex5398afcac

22440246444 has 288 divisors, whose sum is σ = 74004682752. Its totient is φ = 5564160000.

The previous prime is 22440246379. The next prime is 22440246511. The reversal of 22440246444 is 44464204422.

22440246444 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 0 + 2 + 4 + 644 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22440246399 and 22440246408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5339544 + ... + 5343744.

It is an arithmetic number, because the mean of its divisors is an integer number (256960704).

Almost surely, 222440246444 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 22440246444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37002341376).

22440246444 is an abundant number, since it is smaller than the sum of its proper divisors (51564436308).

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

22440246444 is a wasteful number, since it uses less digits than its factorization.

22440246444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

The spelling of 22440246444 in words is "twenty-two billion, four hundred forty million, two hundred forty-six thousand, four hundred forty-four".