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2112322464 = 253271047779
BaseRepresentation
bin111110111100111…
…0111101110100000
312110012201002200100
41331321313232200
513311223304324
6545334222400
7103226305350
oct17571675640
95405632610
102112322464
1199439514a
124ab4b4a00
13278813865
14160776b60
15c569d4c9
hex7de77ba0

2112322464 has 72 divisors (see below), whose sum is σ = 6865054560. Its totient is φ = 603520128.

The previous prime is 2112322463. The next prime is 2112322481. The reversal of 2112322464 is 4642232112.

It is a tau number, because it is divible by the number of its divisors (72).

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 (2112322463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 521874 + ... + 525905.

It is an arithmetic number, because the mean of its divisors is an integer number (95347980).

Almost surely, 22112322464 is an apocalyptic number.

2112322464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2112322464 is an abundant number, since it is smaller than the sum of its proper divisors (4752732096).

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

2112322464 is a wasteful number, since it uses less digits than its factorization.

2112322464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047802 (or 1047791 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2112322464 is about 45960.0093994768. The cubic root of 2112322464 is about 1283.0790262985.

Adding to 2112322464 its reverse (4642232112), we get a palindrome (6754554576).

The spelling of 2112322464 in words is "two billion, one hundred twelve million, three hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1047779 2095558 3143337 4191116 6286674 7334453 8382232 9430011 12573348 14668906 16764464 18860022 22003359 25146696 29337812 33528928 37720044 44006718 50293392 58675624 66010077 75440088 88013436 100586784 117351248 132020154 150880176 176026872 234702496 264040308 301760352 352053744 528080616 704107488 1056161232 2112322464