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221223342432 = 2535574137181
BaseRepresentation
bin1100111000000111110…
…0000101000101100000
3210011000102202012002010
43032001330011011200
512111031133424212
6245343435552520
721661056245631
oct3160174050540
9704012665063
10221223342432
118590289a524
1236a5b2bb740
1317b272a1b71
14a9c8a51888
155b4b7dc03c
hex3381f05160

221223342432 has 48 divisors (see below), whose sum is σ = 581753984112. Its totient is φ = 73608706560.

The previous prime is 221223342419. The next prime is 221223342463. The reversal of 221223342432 is 234243322122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 221223342432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2015119 + ... + 2122062.

It is an arithmetic number, because the mean of its divisors is an integer number (12119874669).

Almost surely, 2221223342432 is an apocalyptic number.

It is an amenable number.

221223342432 is an abundant number, since it is smaller than the sum of its proper divisors (360530641680).

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

221223342432 is a wasteful number, since it uses less digits than its factorization.

221223342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137751 (or 4137743 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 221223342432 its reverse (234243322122), we get a palindrome (455466664554).

The spelling of 221223342432 in words is "two hundred twenty-one billion, two hundred twenty-three million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 557 1114 1671 2228 3342 4456 6684 8912 13368 17824 26736 53472 4137181 8274362 12411543 16548724 24823086 33097448 49646172 66194896 99292344 132389792 198584688 397169376 2304409817 4608819634 6913229451 9217639268 13826458902 18435278536 27652917804 36870557072 55305835608 73741114144 110611671216 221223342432