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221220342 = 2337587997
BaseRepresentation
bin11010010111110…
…00110111110110
3120102021011021000
431023320313312
5423113022332
633541304130
75324225160
oct1513706766
9512234230
10221220342
11103967132
1262105046
1336aa7015
1421547930
151464bb7c
hexd2f8df6

221220342 has 64 divisors (see below), whose sum is σ = 563351040. Its totient is φ = 63034848.

The previous prime is 221220331. The next prime is 221220347. The reversal of 221220342 is 243022122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221220347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221388 + ... + 222384.

It is an arithmetic number, because the mean of its divisors is an integer number (8802360).

Almost surely, 2221220342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221220342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281675520).

221220342 is an abundant number, since it is smaller than the sum of its proper divisors (342130698).

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

221220342 is a wasteful number, since it uses less digits than its factorization.

221220342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221220342 is about 14873.4778044679. The cubic root of 221220342 is about 604.7952242789.

Adding to 221220342 its reverse (243022122), we get a palindrome (464242464).

The spelling of 221220342 in words is "two hundred twenty-one million, two hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 587 997 1174 1761 1994 2991 3522 4109 5283 5982 6979 8218 8973 10566 12327 13958 15849 17946 20937 24654 26919 31698 36981 41874 53838 62811 73962 110943 125622 188433 221886 376866 585239 1170478 1755717 3511434 4096673 5267151 8193346 10534302 12290019 15801453 24580038 31602906 36870057 73740114 110610171 221220342