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22425300352422 = 232113153325321191
BaseRepresentation
bin1010001100101010011000…
…00011111011110110100110
32221101211121201221210111100
411012111030003323312212
510414404003342234142
6115410012445420530
74503113563620252
oct506251403736646
987354551853440
1022425300352422
117166575471490
12262220b86a746
13c689099b1c76
145775670bd262
1528d5009acb4c
hex14654c0fbda6

22425300352422 has 192 divisors, whose sum is σ = 55767231516672. Its totient is φ = 6449964768000.

The previous prime is 22425300352393. The next prime is 22425300352463.

22425300352422 is a `hidden beast` number, since 22 + 42 + 53 + 0 + 0 + 3 + 524 + 22 = 666.

22425300352422 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1058235847 + ... + 1058257037.

It is an arithmetic number, because the mean of its divisors is an integer number (290454330816).

Almost surely, 222425300352422 is an apocalyptic number.

22425300352422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22425300352422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27883615758336).

22425300352422 is an abundant number, since it is smaller than the sum of its proper divisors (33341931164250).

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

22425300352422 is a wasteful number, since it uses less digits than its factorization.

22425300352422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24547 (or 24544 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 22425300 and 352422, that added together give a palindrome (22777722).

The spelling of 22425300352422 in words is "twenty-two trillion, four hundred twenty-five billion, three hundred million, three hundred fifty-two thousand, four hundred twenty-two".