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2112234144 = 25347468137
BaseRepresentation
bin111110111100110…
…0010001010100000
312110012112121112020
41331321202022200
513311212443034
6545332301440
7103225460016
oct17571421240
95405477466
102112234144
11994334859
124ab471880
132787b25b7
141607528b6
15c5682249
hex7de622a0

2112234144 has 48 divisors (see below), whose sum is σ = 5662597248. Its totient is φ = 689096192.

The previous prime is 2112234121. The next prime is 2112234149. The reversal of 2112234144 is 4414322112.

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

It is not an unprimeable number, because it can be changed into a prime (2112234149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229557 + ... + 238580.

It is an arithmetic number, because the mean of its divisors is an integer number (117970776).

Almost surely, 22112234144 is an apocalyptic number.

2112234144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2112234144 is an abundant number, since it is smaller than the sum of its proper divisors (3550363104).

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

2112234144 is a wasteful number, since it uses less digits than its factorization.

2112234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468197 (or 468189 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2112234144 is about 45959.0485541204. The cubic root of 2112234144 is about 1283.0611434356.

Adding to 2112234144 its reverse (4414322112), we get a palindrome (6526556256).

The spelling of 2112234144 in words is "two billion, one hundred twelve million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 468137 936274 1404411 1872548 2808822 3745096 5617644 7490192 11235288 14980384 22002439 22470576 44004878 44941152 66007317 88009756 132014634 176019512 264029268 352039024 528058536 704078048 1056117072 2112234144