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2242413024 = 25331753499
BaseRepresentation
bin1000010110101000…
…1000000111100000
312210021111101101020
42011222020013200
514043024204044
61010302405440
7106366124205
oct20552100740
95707441336
102242413024
11a50869105
12526b90880
13299761617
14173b5bcac
15d1ce8a19
hex85a881e0

2242413024 has 48 divisors (see below), whose sum is σ = 6076224000. Its totient is φ = 723358080.

The previous prime is 2242412971. The next prime is 2242413053. The reversal of 2242413024 is 4203142422.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 2242412985 and 2242413003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373774 + ... + 379725.

It is an arithmetic number, because the mean of its divisors is an integer number (126588000).

Almost surely, 22242413024 is an apocalyptic number.

2242413024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242413024 is an abundant number, since it is smaller than the sum of its proper divisors (3833810976).

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

2242413024 is a wasteful number, since it uses less digits than its factorization.

2242413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753543 (or 753535 counting only the distinct ones).

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

The square root of 2242413024 is about 47354.1236219191. The cubic root of 2242413024 is about 1308.8961865113.

Adding to 2242413024 its reverse (4203142422), we get a palindrome (6445555446).

The spelling of 2242413024 in words is "two billion, two hundred forty-two million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 753499 1506998 2260497 3013996 4520994 6027992 9041988 12055984 18083976 23358469 24111968 36167952 46716938 70075407 72335904 93433876 140150814 186867752 280301628 373735504 560603256 747471008 1121206512 2242413024