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221030432221014 = 233132231318038453
BaseRepresentation
bin110010010000011010101000…
…011001011010011101010110
31001222121022011212002222212000
4302100122220121122131112
5212432330311122033024
62102031551230140130
764361631105605043
oct6220325031323526
91058538155088760
10221030432221014
1164477530812359
1220959218651646
139644107616a00
143c81d03cc41ca
151a847971e0cc9
hexc906a865a756

221030432221014 has 192 divisors, whose sum is σ = 559229457093120. Its totient is φ = 64555843397760.

The previous prime is 221030432220953. The next prime is 221030432221061. The reversal of 221030432221014 is 410122234030122.

221030432221014 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 3 + 0 + 432 + 2 + 210 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23477412 + ... + 31515864.

It is an arithmetic number, because the mean of its divisors is an integer number (2912653422360).

Almost surely, 2221030432221014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221030432221014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279614728546560).

221030432221014 is an abundant number, since it is smaller than the sum of its proper divisors (338199024872106).

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

221030432221014 is a wasteful number, since it uses less digits than its factorization.

221030432221014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8038644 (or 8038625 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 221030432221014 its reverse (410122234030122), we get a palindrome (631152666251136).

The spelling of 221030432221014 in words is "two hundred twenty-one trillion, thirty billion, four hundred thirty-two million, two hundred twenty-one thousand, fourteen".