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22424242434 = 23111923777523
BaseRepresentation
bin10100111000100101…
…101100100100000010
32010212210011112200120
4110320211230210002
5331411101224214
614145045201110
71422456626046
oct247045544402
963783145616
1022424242434
11956799a270
124419a00196
132164a00a09
14112a256026
158b39ceea9
hex53896c902

22424242434 has 64 divisors (see below), whose sum is σ = 51529167360. Its totient is φ = 6434017920.

The previous prime is 22424242433. The next prime is 22424242439. The reversal of 22424242434 is 43424242422.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 22424242395 and 22424242404.

It is not an unprimeable number, because it can be changed into a prime (22424242433) 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, 2976997 + ... + 2984519.

It is an arithmetic number, because the mean of its divisors is an integer number (805143240).

Almost surely, 222424242434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22424242434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25764583680).

22424242434 is an abundant number, since it is smaller than the sum of its proper divisors (29104924926).

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

22424242434 is a wasteful number, since it uses less digits than its factorization.

22424242434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9935.

The product of its digits is 98304, while the sum is 33.

Adding to 22424242434 its reverse (43424242422), we get a palindrome (65848484856).

The spelling of 22424242434 in words is "twenty-two billion, four hundred twenty-four million, two hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 2377 4754 7131 7523 14262 15046 22569 26147 45138 45163 52294 78441 82753 90326 135489 142937 156882 165506 248259 270978 285874 428811 496518 496793 857622 993586 1490379 1572307 2980758 3144614 4716921 9433842 17882171 35764342 53646513 107293026 196703881 339761249 393407762 590111643 679522498 1019283747 1180223286 2038567494 3737373739 7474747478 11212121217 22424242434