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221223342131140 = 225173120988931891
BaseRepresentation
bin110010010011001110010010…
…101110010100011111000100
31002000021202010002010210111011
4302103032102232110133010
5212444010401041144030
62102300333403052004
764411600435024066
oct6223162256243704
91060252102123434
10221223342131140
1164541324397048
122098a695811004
13965936ba7911b
143c8b3a44b7736
151a897d7ea2b2a
hexc93392b947c4

221223342131140 has 48 divisors (see below), whose sum is σ = 507764240331264. Its totient is φ = 80597498457600.

The previous prime is 221223342131083. The next prime is 221223342131149. The reversal of 221223342131140 is 41131243322122.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (221223342131149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10494455406 + ... + 10494476485.

It is an arithmetic number, because the mean of its divisors is an integer number (10578421673568).

Almost surely, 2221223342131140 is an apocalyptic number.

221223342131140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221223342131140 is an abundant number, since it is smaller than the sum of its proper divisors (286540898200124).

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

221223342131140 is a wasteful number, since it uses less digits than its factorization.

221223342131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20988931948 (or 20988931946 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 221223342131140 its reverse (41131243322122), we get a palindrome (262354585453262).

The spelling of 221223342131140 in words is "two hundred twenty-one trillion, two hundred twenty-three billion, three hundred forty-two million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 10540 20988931891 41977863782 83955727564 104944659455 209889318910 356811842147 419778637820 650656888621 713623684294 1301313777242 1427247368588 1784059210735 2602627554484 3253284443105 3568118421470 6506568886210 7136236842940 11061167106557 13013137772420 22122334213114 44244668426228 55305835532785 110611671065570 221223342131140