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2243199134352 = 24311172917894817
BaseRepresentation
bin100000101001001001000…
…101100110101010010000
321221110002101220221021110
4200221021011212222100
5243223032434244402
64434302250253320
7321031365016131
oct40511105465220
97843071827243
102243199134352
11795376482010
123028b6a27240
131336c06605b7
147a7ddd7dc88
153d53dc1556c
hex20a49166a90

2243199134352 has 320 divisors, whose sum is σ = 6929733254400. Its totient is φ = 617237053440.

The previous prime is 2243199134269. The next prime is 2243199134377. The reversal of 2243199134352 is 2534319913422.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465681448 + ... + 465686264.

It is an arithmetic number, because the mean of its divisors is an integer number (21655416420).

Almost surely, 22243199134352 is an apocalyptic number.

2243199134352 is a gapful number since it is divisible by the number (22) 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 2243199134352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464866627200).

2243199134352 is an abundant number, since it is smaller than the sum of its proper divisors (4686534120048).

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

2243199134352 is a wasteful number, since it uses less digits than its factorization.

2243199134352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6674 (or 6668 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The spelling of 2243199134352 in words is "two trillion, two hundred forty-three billion, one hundred ninety-nine million, one hundred thirty-four thousand, three hundred fifty-two".