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221224411134 = 23223534358481
BaseRepresentation
bin1100111000001000000…
…0001001111111111110
3210011000111202111001200
43032002000021333332
512111031422124014
6245343514520330
721661101316446
oct3160200117776
9704014674050
10221224411134
118590345a451
1236a5b7360a6
1317b2758742c
14a9c8c4d126
155b4b94da09
hex3382009ffe

221224411134 has 24 divisors (see below), whose sum is σ = 500159539152. Its totient is φ = 70535319360.

The previous prime is 221224411123. The next prime is 221224411141. The reversal of 221224411134 is 431114422122.

221224411134 is a `hidden beast` number, since 2 + 21 + 224 + 411 + 1 + 3 + 4 = 666.

221224411134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221224411098 and 221224411107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267178827 + ... + 267179654.

It is an arithmetic number, because the mean of its divisors is an integer number (20839980798).

Almost surely, 2221224411134 is an apocalyptic number.

221224411134 is an abundant number, since it is smaller than the sum of its proper divisors (278935128018).

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

221224411134 is a wasteful number, since it uses less digits than its factorization.

221224411134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534358512 (or 534358509 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 221224411134 its reverse (431114422122), we get a palindrome (652338833256).

The spelling of 221224411134 in words is "two hundred twenty-one billion, two hundred twenty-four million, four hundred eleven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 534358481 1068716962 1603075443 3206150886 4809226329 9618452658 12290245063 24580490126 36870735189 73741470378 110612205567 221224411134