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22242002024 = 2311618349921
BaseRepresentation
bin10100101101101110…
…100000010001101000
32010102002020202211202
4110231232200101220
5331022423031044
614115015143332
71415114616644
oct245556402150
963362222752
1022242002024
119484037360
124388974b48
132136024158
14110dd77c24
158a29d2c4e
hex52dba0468

22242002024 has 64 divisors (see below), whose sum is σ = 46798879680. Its totient is φ = 9824256000.

The previous prime is 22242001979. The next prime is 22242002033. The reversal of 22242002024 is 42020024222.

It is a junction number, because it is equal to n+sod(n) for n = 22242001987 and 22242002005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420584 + ... + 470504.

It is an arithmetic number, because the mean of its divisors is an integer number (731232495).

Almost surely, 222242002024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22242002024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23399439840).

22242002024 is an abundant number, since it is smaller than the sum of its proper divisors (24556877656).

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

22242002024 is a wasteful number, since it uses less digits than its factorization.

22242002024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50082 (or 50078 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22242002024 its reverse (42020024222), we get a palindrome (64262026246).

The spelling of 22242002024 in words is "twenty-two billion, two hundred forty-two million, two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 61 83 88 122 166 244 332 488 664 671 913 1342 1826 2684 3652 5063 5368 7304 10126 20252 40504 49921 55693 99842 111386 199684 222772 399368 445544 549131 1098262 2196524 3045181 4143443 4393048 6090362 8286886 12180724 16573772 24361448 33147544 33496991 45577873 66993982 91155746 133987964 182311492 252750023 267975928 364622984 505500046 1011000092 2022000184 2780250253 5560500506 11121001012 22242002024