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2212997389344 = 253471078591327
BaseRepresentation
bin100000001101000000111…
…011000101110000100000
321211120010121000022210000
4200031000323011300200
5242224204312424334
64412345330140000
7315612065304330
oct40150073056040
97746117008700
102212997389344
11783588373a75
122b8a88421600
131308b954cb71
1479176c1b0c0
153c87253a299
hex20340ec5c20

2212997389344 has 480 divisors, whose sum is σ = 7522049525760. Its totient is φ = 625175096832.

The previous prime is 2212997389303. The next prime is 2212997389349. The reversal of 2212997389344 is 4439837992122.

2212997389344 is a `hidden beast` number, since 2 + 2 + 129 + 97 + 3 + 89 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2212997389349) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1667668809 + ... + 1667670135.

It is an arithmetic number, because the mean of its divisors is an integer number (15670936512).

Almost surely, 22212997389344 is an apocalyptic number.

2212997389344 is a gapful number since it is divisible by the number (24) 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 2212997389344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761024762880).

2212997389344 is an abundant number, since it is smaller than the sum of its proper divisors (5309052136416).

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

2212997389344 is a wasteful number, since it uses less digits than its factorization.

2212997389344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2305 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 2212997389344 in words is "two trillion, two hundred twelve billion, nine hundred ninety-seven million, three hundred eighty-nine thousand, three hundred forty-four".