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22240142430 = 23511210160661
BaseRepresentation
bin10100101101100111…
…011010010001011110
32010101221202021221220
4110231213122101132
5331021434024210
614114511234210
71415063043252
oct245547322136
963357667856
1022240142430
119482a87200
124388218966
1321358228bc
14110da12262
158a2766c70
hex52d9da45e

22240142430 has 96 divisors (see below), whose sum is σ = 59251729824. Its totient is φ = 5338080000.

The previous prime is 22240142423. The next prime is 22240142461. The reversal of 22240142430 is 3424104222.

22240142430 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 22240142430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336300 + ... + 396960.

It is an arithmetic number, because the mean of its divisors is an integer number (617205519).

Almost surely, 222240142430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22240142430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29625864912).

22240142430 is an abundant number, since it is smaller than the sum of its proper divisors (37011587394).

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

22240142430 is a wasteful number, since it uses less digits than its factorization.

22240142430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60794 (or 60783 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22240142430 its reverse (3424104222), we get a palindrome (25664246652).

The spelling of 22240142430 in words is "twenty-two billion, two hundred forty million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 121 165 202 242 303 330 363 505 605 606 726 1010 1111 1210 1515 1815 2222 3030 3333 3630 5555 6666 11110 12221 16665 24442 33330 36663 60661 61105 73326 121322 122210 181983 183315 303305 363966 366630 606610 667271 909915 1334542 1819830 2001813 3336355 4003626 6126761 6672710 7339981 10009065 12253522 14679962 18380283 20018130 22019943 30633805 36699905 36760566 44039886 61267610 67394371 73399810 91901415 110099715 134788742 183802830 202183113 220199430 336971855 404366226 673943710 741338081 1010915565 1482676162 2021831130 2224014243 3706690405 4448028486 7413380810 11120071215 22240142430