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2112523440 = 24358802181
BaseRepresentation
bin111110111101010…
…1000110010110000
312110020002022100220
41331322220302300
513311301222230
6545342413040
7103231103316
oct17572506260
95406068326
102112523440
11994512145
124ab591180
13278884191
141607ca0b6
15c56dcd10
hex7dea8cb0

2112523440 has 40 divisors (see below), whose sum is σ = 6548823408. Its totient is φ = 563339520.

The previous prime is 2112523433. The next prime is 2112523451. The reversal of 2112523440 is 443252112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2112523440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4400851 + ... + 4401330.

Almost surely, 22112523440 is an apocalyptic number.

2112523440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112523440 is an abundant number, since it is smaller than the sum of its proper divisors (4436299968).

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

2112523440 is a wasteful number, since it uses less digits than its factorization.

2112523440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8802197 (or 8802191 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2112523440 is about 45962.1957700021. The cubic root of 2112523440 is about 1283.1197176729.

Adding to 2112523440 its reverse (443252112), we get a palindrome (2555775552).

The spelling of 2112523440 in words is "two billion, one hundred twelve million, five hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8802181 17604362 26406543 35208724 44010905 52813086 70417448 88021810 105626172 132032715 140834896 176043620 211252344 264065430 352087240 422504688 528130860 704174480 1056261720 2112523440