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2422134024 = 2331749911897
BaseRepresentation
bin1001000001011110…
…1101010100001000
320020210200011020120
42100113231110020
514430031242044
61040202423240
7114010541142
oct22027552410
96223604216
102422134024
111033260162
12577201b20
132c7a684cb
1418d981c92
15e2999519
hex905ed508

2422134024 has 64 divisors (see below), whose sum is σ = 6424920000. Its totient is φ = 758298624.

The previous prime is 2422134023. The next prime is 2422134059. The reversal of 2422134024 is 4204312242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2422133985 and 2422134003.

It is not an unprimeable number, because it can be changed into a prime (2422134023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197644 + ... + 209540.

It is an arithmetic number, because the mean of its divisors is an integer number (100389375).

Almost surely, 22422134024 is an apocalyptic number.

2422134024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422134024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212460000).

2422134024 is an abundant number, since it is smaller than the sum of its proper divisors (4002785976).

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

2422134024 is a wasteful number, since it uses less digits than its factorization.

2422134024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12422 (or 12418 counting only the distinct ones).

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

The square root of 2422134024 is about 49215.1808286833. The cubic root of 2422134024 is about 1342.9692130012.

Adding to 2422134024 its reverse (4204312242), we get a palindrome (6626446266).

The spelling of 2422134024 in words is "two billion, four hundred twenty-two million, one hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 499 998 1497 1996 2994 3992 5988 8483 11897 11976 16966 23794 25449 33932 35691 47588 50898 67864 71382 95176 101796 142764 202249 203592 285528 404498 606747 808996 1213494 1617992 2426988 4853976 5936603 11873206 17809809 23746412 35619618 47492824 71239236 100922251 142478472 201844502 302766753 403689004 605533506 807378008 1211067012 2422134024