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221422047311430 = 23357267487512929
BaseRepresentation
bin110010010110000111010110…
…011110011011011001000110
31002000222202000011222211021000
4302112013112132123121012
5213010234323102431210
62102531515000434130
764432133514134400
oct6226072636333106
91060882004884230
10221422047311430
1164608621279009
1220a010ab778946
139672017a55194
143c96c54625b70
151a8ea6790bac0
hexc961d679b646

221422047311430 has 384 divisors, whose sum is σ = 698544676684800. Its totient is φ = 49752899868672.

The previous prime is 221422047311351. The next prime is 221422047311461. The reversal of 221422047311430 is 34113740224122.

221422047311430 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 204 + 7 + 3 + 11 + 430 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 431425206 + ... + 431938134.

It is an arithmetic number, because the mean of its divisors is an integer number (1819126762200).

Almost surely, 2221422047311430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221422047311430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349272338342400).

221422047311430 is an abundant number, since it is smaller than the sum of its proper divisors (477122629373370).

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

221422047311430 is a wasteful number, since it uses less digits than its factorization.

221422047311430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513513 (or 513500 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 221422047311430 its reverse (34113740224122), we get a palindrome (255535787535552).

The spelling of 221422047311430 in words is "two hundred twenty-one trillion, four hundred twenty-two billion, forty-seven million, three hundred eleven thousand, four hundred thirty".