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2244042024 = 2337217112247
BaseRepresentation
bin1000010111000001…
…0101110100101000
312210101120010221120
42011300111310220
514043433321044
61010401335240
7106416020400
oct20560256450
95711503846
102244042024
11a51780a94
12527637520
13299bb1c23
14174063800
15d201b519
hex85c15d28

2244042024 has 96 divisors (see below), whose sum is σ = 6909986880. Its totient is φ = 603434496.

The previous prime is 2244042023. The next prime is 2244042037. The reversal of 2244042024 is 4202404422.

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 = 2244041985 and 2244042003.

It is not an unprimeable number, because it can be changed into a prime (2244042023) 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 23 ways as a sum of consecutive naturals, for example, 36132 + ... + 76115.

It is an arithmetic number, because the mean of its divisors is an integer number (71979030).

Almost surely, 22244042024 is an apocalyptic number.

2244042024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2244042024 is an abundant number, since it is smaller than the sum of its proper divisors (4665944856).

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

2244042024 is a wasteful number, since it uses less digits than its factorization.

2244042024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112287 (or 112276 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2244042024 is about 47371.3206908990. The cubic root of 2244042024 is about 1309.2130588216.

Adding to 2244042024 its reverse (4202404422), we get a palindrome (6446446446).

The spelling of 2244042024 in words is "two billion, two hundred forty-four million, forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1428 1666 2499 2856 3332 4998 6664 9996 19992 112247 224494 336741 448988 673482 785729 897976 1346964 1571458 1908199 2357187 2693928 3142916 3816398 4714374 5500103 5724597 6285832 7632796 9428748 11000206 11449194 13357393 15265592 16500309 18857496 22000412 22898388 26714786 33000618 40072179 44000824 45796776 53429572 66001236 80144358 93501751 106859144 132002472 160288716 187003502 280505253 320577432 374007004 561010506 748014008 1122021012 2244042024