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222230010042 = 232194723957847
BaseRepresentation
bin1100111011110111110…
…0001101100010111010
3210020121120222012102200
43032331330031202322
512120111340310132
6250031400211030
722025031626625
oct3167574154272
9706546865380
10222230010042
118627a057827
12370a0469a76
1317c57a04b81
14aa82616dbc
155ba9d88d7c
hex33bdf0d8ba

222230010042 has 96 divisors (see below), whose sum is σ = 519798988800. Its totient is φ = 68396184864.

The previous prime is 222230009983. The next prime is 222230010157. The reversal of 222230010042 is 240010032222.

222230010042 is a `hidden beast` number, since 2 + 222 + 300 + 100 + 42 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 222230009997 and 222230010024.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3812763 + ... + 3870609.

It is an arithmetic number, because the mean of its divisors is an integer number (5414572800).

Almost surely, 2222230010042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222230010042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259899494400).

222230010042 is an abundant number, since it is smaller than the sum of its proper divisors (297568978758).

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

222230010042 is a wasteful number, since it uses less digits than its factorization.

222230010042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58160 (or 58157 counting only the distinct ones).

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

Adding to 222230010042 its reverse (240010032222), we get a palindrome (462240042264).

The spelling of 222230010042 in words is "two hundred twenty-two billion, two hundred thirty million, ten thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 239 282 342 423 478 717 846 893 1434 1786 2151 2679 4302 4541 5358 8037 9082 11233 13623 16074 22466 27246 33699 40869 57847 67398 81738 101097 115694 173541 202194 213427 347082 426854 520623 640281 1041246 1099093 1280562 1920843 2198186 2718809 3297279 3841686 5437618 6594558 8156427 9891837 13825433 16312854 19783674 24469281 27650866 41476299 48938562 51657371 82952598 103314742 124428897 154972113 248857794 262683227 309944226 464916339 525366454 649795351 788049681 929832678 1299590702 1576099362 1949386053 2364149043 3898772106 4728298086 5848158159 11696316318 12346111669 24692223338 37038335007 74076670014 111115005021 222230010042