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221304332142 = 23337110762929
BaseRepresentation
bin1100111000011011000…
…1000001111101101110
3210011020002010220002000
43032012301001331232
512111212402112032
6245355451513130
721663061533345
oct3160661017556
9704202126060
10221304332142
1185944587273
1236a824587a6
1317b3acba87a
14a9d56d4b5c
155b53988e7c
hex3386c41f6e

221304332142 has 32 divisors (see below), whose sum is σ = 505078960800. Its totient is φ = 71774377344.

The previous prime is 221304332141. The next prime is 221304332149. The reversal of 221304332142 is 241233403122.

221304332142 is a `hidden beast` number, since 2 + 2 + 13 + 0 + 433 + 214 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221304332141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55379467 + ... + 55383462.

It is an arithmetic number, because the mean of its divisors is an integer number (15783717525).

Almost surely, 2221304332142 is an apocalyptic number.

221304332142 is an abundant number, since it is smaller than the sum of its proper divisors (283774628658).

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

221304332142 is a wasteful number, since it uses less digits than its factorization.

221304332142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110762977 (or 110762971 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 221304332142 its reverse (241233403122), we get a palindrome (462537735264).

The spelling of 221304332142 in words is "two hundred twenty-one billion, three hundred four million, three hundred thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 110762929 221525858 332288787 664577574 996866361 1993732722 2990599083 4098228373 5981198166 8196456746 12294685119 24589370238 36884055357 73768110714 110652166071 221304332142