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2283768324 = 2233103239859
BaseRepresentation
bin1000100000011111…
…1000101000000100
312220011022110012000
42020013320220010
514134121041244
61014341025300
7110410465455
oct21007705004
95804273160
102283768324
11a72144a42
125389b5230
132a51b1006
1417944512c
15d5767169
hex881f8a04

2283768324 has 96 divisors (see below), whose sum is σ = 6010368000. Its totient is φ = 749837088.

The previous prime is 2283768301. The next prime is 2283768341. The reversal of 2283768324 is 4238673822.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2283768324.

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 31 ways as a sum of consecutive naturals, for example, 2658207 + ... + 2659065.

It is an arithmetic number, because the mean of its divisors is an integer number (62608000).

Almost surely, 22283768324 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 2283768324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005184000).

2283768324 is an abundant number, since it is smaller than the sum of its proper divisors (3726599676).

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

2283768324 is a wasteful number, since it uses less digits than its factorization.

2283768324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1206 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2283768324 is about 47788.7886852136. The cubic root of 2283768324 is about 1316.8935836930.

The spelling of 2283768324 in words is "two billion, two hundred eighty-three million, seven hundred sixty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 239 309 412 478 618 717 859 927 956 1236 1434 1718 1854 2151 2577 2781 2868 3436 3708 4302 5154 5562 6453 7731 8604 10308 11124 12906 15462 23193 24617 25812 30924 46386 49234 73851 88477 92772 98468 147702 176954 205301 221553 265431 295404 353908 410602 443106 530862 615903 664659 796293 821204 886212 1061724 1231806 1329318 1592586 1847709 2388879 2463612 2658636 3185172 3695418 4777758 5543127 7390836 9555516 11086254 21146003 22172508 42292006 63438009 84584012 126876018 190314027 253752036 380628054 570942081 761256108 1141884162 2283768324