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422230288896 = 2934131947877
BaseRepresentation
bin1100010010011101110…
…00101110101000000000
31111100211221210001110000
412021032320232220000
523404211423221041
6521545300240000
742335155144623
oct6111670565000
91440757701400
10422230288896
11153080a99489
12699b80a0000
1330a7c0c0c40
141661676bdba
15aeb3365bb6
hex624ee2ea00

422230288896 has 800 divisors, whose sum is σ = 1460679010560. Its totient is φ = 120323211264.

The previous prime is 422230288891. The next prime is 422230288903. The reversal of 422230288896 is 698882032224.

422230288896 is a `hidden beast` number, since 42 + 2 + 230 + 288 + 8 + 96 = 666.

It is a super-2 number, since 2×4222302888962 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (422230288891) 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, 481448010 + ... + 481448886.

Almost surely, 2422230288896 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 422230288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730339505280).

422230288896 is an abundant number, since it is smaller than the sum of its proper divisors (1038448721664).

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

422230288896 is a wasteful number, since it uses less digits than its factorization.

422230288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 422230288896 in words is "four hundred twenty-two billion, two hundred thirty million, two hundred eighty-eight thousand, eight hundred ninety-six".