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221340220444 = 22726138947591
BaseRepresentation
bin1100111000100011100…
…1111011110000011100
3210011022120200012120101
43032020321323300130
512111301044023234
6245403213030444
721664005555100
oct3161071736034
9704276605511
10221340220444
1185962869722
1236a92485424
1317b45574a55
14a9da397900
155b56bc7814
hex3388e7bc1c

221340220444 has 72 divisors (see below), whose sum is σ = 459159049440. Its totient is φ = 93063196800.

The previous prime is 221340220433. The next prime is 221340220447. The reversal of 221340220444 is 444022043122.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221340220447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4627089 + ... + 4674679.

It is an arithmetic number, because the mean of its divisors is an integer number (6377209020).

Almost surely, 2221340220444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221340220444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229579524720).

221340220444 is an abundant number, since it is smaller than the sum of its proper divisors (237818828996).

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

221340220444 is a wasteful number, since it uses less digits than its factorization.

221340220444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48059 (or 48050 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 221340220444 its reverse (444022043122), we get a palindrome (665362263566).

The spelling of 221340220444 in words is "two hundred twenty-one billion, three hundred forty million, two hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 389 427 778 854 1556 1708 2723 2989 5446 5978 10892 11956 19061 23729 38122 47458 47591 76244 94916 95182 166103 190364 332206 333137 664412 666274 1162721 1332548 2325442 2331959 2903051 4650884 4663918 5806102 9327836 11612204 18512899 20321357 37025798 40642714 74051596 81285428 129590293 142249499 259180586 284498998 518361172 568997996 907132051 1129286839 1814264102 2258573678 3628528204 4517147356 7905007873 15810015746 31620031492 55335055111 110670110222 221340220444