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2242012432 = 241143296249
BaseRepresentation
bin1000010110100010…
…0110010100010000
312210020202000212111
42011220212110100
514042423344212
61010250035104
7106362535252
oct20550462420
95706660774
102242012432
11a50615140
12526a18a94
1329965119a
14173a95cd2
15d1c69ea7
hex85a26510

2242012432 has 40 divisors (see below), whose sum is σ = 4849020000. Its totient is φ = 995393280.

The previous prime is 2242012397. The next prime is 2242012441. The reversal of 2242012432 is 2342102422.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 140557 + ... + 155692.

It is an arithmetic number, because the mean of its divisors is an integer number (121225500).

Almost surely, 22242012432 is an apocalyptic number.

2242012432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2242012432 is an abundant number, since it is smaller than the sum of its proper divisors (2607007568).

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

2242012432 is a wasteful number, since it uses less digits than its factorization.

2242012432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296311 (or 296305 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2242012432 is about 47349.8936852027. The cubic root of 2242012432 is about 1308.8182400371.

Adding to 2242012432 its reverse (2342102422), we get a palindrome (4584114854).

The spelling of 2242012432 in words is "two billion, two hundred forty-two million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1892 3784 7568 296249 592498 1184996 2369992 3258739 4739984 6517478 12738707 13034956 25477414 26069912 50954828 52139824 101909656 140125777 203819312 280251554 560503108 1121006216 2242012432