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2112102240 = 25354400213
BaseRepresentation
bin111110111100100…
…0001111101100000
312110012021220120220
41331321001331200
513311144232430
6545325403040
7103224400323
oct17571017540
95405256526
102112102240
11994254746
124ab409480
13278767551
1416071a7ba
15c5658110
hex7de41f60

2112102240 has 48 divisors (see below), whose sum is σ = 6653123568. Its totient is φ = 563227136.

The previous prime is 2112102233. The next prime is 2112102271. The reversal of 2112102240 is 422012112.

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 (15).

It is a congruent number.

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, 2199627 + ... + 2200586.

It is an arithmetic number, because the mean of its divisors is an integer number (138606741).

Almost surely, 22112102240 is an apocalyptic number.

2112102240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112102240 is an abundant number, since it is smaller than the sum of its proper divisors (4541021328).

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

2112102240 is a wasteful number, since it uses less digits than its factorization.

2112102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400231 (or 4400223 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2112102240 is about 45957.6135150641. The cubic root of 2112102240 is about 1283.0344348404.

Adding to 2112102240 its reverse (422012112), we get a palindrome (2534114352).

The spelling of 2112102240 in words is "two billion, one hundred twelve million, one hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4400213 8800426 13200639 17600852 22001065 26401278 35201704 44002130 52802556 66003195 70403408 88004260 105605112 132006390 140806816 176008520 211210224 264012780 352017040 422420448 528025560 704034080 1056051120 2112102240