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2144224412 = 2211434724113
BaseRepresentation
bin111111111001110…
…0100010010011100
312112102201212220222
41333303210102130
513342410140122
6552434100512
7104064415061
oct17763442234
95472655828
102144224412
11a003a45a0
124ba11a738
13282303455
14164abcc68
15c83a0b42
hex7fce449c

2144224412 has 48 divisors (see below), whose sum is σ = 4278016512. Its totient is φ = 931687680.

The previous prime is 2144224367. The next prime is 2144224421.

It is a happy number.

2144224412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76868 + ... + 100980.

It is an arithmetic number, because the mean of its divisors is an integer number (89125344).

Almost surely, 22144224412 is an apocalyptic number.

2144224412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2144224412 is a deficient number, since it is larger than the sum of its proper divisors (2133792100).

2144224412 is a wasteful number, since it uses less digits than its factorization.

2144224412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24218 (or 24216 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 2144224412 is about 46305.7708282672. The cubic root of 2144224412 is about 1289.5061330869.

It can be divided in two parts, 21442 and 24412, that added together give a palindrome (45854).

The spelling of 2144224412 in words is "two billion, one hundred forty-four million, two hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 4 11 22 43 44 47 86 94 172 188 473 517 946 1034 1892 2021 2068 4042 8084 22231 24113 44462 48226 88924 96452 265243 530486 1036859 1060972 1133311 2073718 2266622 4147436 4533244 11405449 12466421 22810898 24932842 45621796 48732373 49865684 97464746 194929492 536056103 1072112206 2144224412