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221422602142104 = 233112219513778861
BaseRepresentation
bin110010010110000111110111…
…100010111100000110011000
31002000222210102212000010212020
4302112013313202330012120
5213010241442122021404
62102532050020414440
764432153332125466
oct6226076742740630
91060883385003766
10221422602142104
1164608886485560
1220a01225547420
1396720a599735c
143c96ca81b1836
151a8ea9b4a5ed9
hexc961f78bc198

221422602142104 has 64 divisors (see below), whose sum is σ = 603882704609280. Its totient is φ = 67097438160000.

The previous prime is 221422602142097. The next prime is 221422602142109. The reversal of 221422602142104 is 401241206224122.

221422602142104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221422602142109) 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, 56705634 + ... + 60484494.

It is an arithmetic number, because the mean of its divisors is an integer number (9435667259520).

Almost surely, 2221422602142104 is an apocalyptic number.

221422602142104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221422602142104 is an abundant number, since it is smaller than the sum of its proper divisors (382460102467176).

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

221422602142104 is a wasteful number, since it uses less digits than its factorization.

221422602142104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000832 (or 4000828 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 221422602142104 its reverse (401241206224122), we get a palindrome (622663808366226).

The spelling of 221422602142104 in words is "two hundred twenty-one trillion, four hundred twenty-two billion, six hundred two million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 221951 443902 665853 887804 1331706 1775608 2441461 2663412 3778861 4882922 5326824 7324383 7557722 9765844 11336583 14648766 15115444 19531688 22673166 29297532 30230888 41567471 45346332 58595064 83134942 90692664 124702413 166269884 249404826 332539768 498809652 997619304 838721977811 1677443955622 2516165933433 3354887911244 5032331866866 6709775822488 9225941755921 10064663733732 18451883511842 20129327467464 27677825267763 36903767023684 55355650535526 73807534047368 110711301071052 221422602142104