Search a number
-
+
2210102112 = 25389258673
BaseRepresentation
bin1000001110111011…
…0111101101100000
312201000200211010210
42003232313231200
514011241231422
61003150054120
7105524362251
oct20356675540
95630624123
102210102112
11a345aa479
125181aa340
13292b5a83a
1416d74ab28
15ce06510c
hex83bb7b60

2210102112 has 48 divisors (see below), whose sum is σ = 5866726320. Its totient is φ = 728420352.

The previous prime is 2210102107. The next prime is 2210102137. The reversal of 2210102112 is 2112010122.

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 (12).

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, 120793 + ... + 137880.

It is an arithmetic number, because the mean of its divisors is an integer number (122223465).

Almost surely, 22210102112 is an apocalyptic number.

It is an amenable number.

2210102112 is an abundant number, since it is smaller than the sum of its proper divisors (3656624208).

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

2210102112 is a wasteful number, since it uses less digits than its factorization.

2210102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258775 (or 258767 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2210102112 is about 47011.7231337036. The cubic root of 2210102112 is about 1302.5791227878.

Adding to 2210102112 its reverse (2112010122), we get a palindrome (4322112234).

The spelling of 2210102112 in words is "two billion, two hundred ten million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 258673 517346 776019 1034692 1552038 2069384 3104076 4138768 6208152 8277536 12416304 23021897 24832608 46043794 69065691 92087588 138131382 184175176 276262764 368350352 552525528 736700704 1105051056 2210102112