Search a number
-
+
220232200122000 = 243253111112283839
BaseRepresentation
bin110010000100110011001110…
…000011100110111010010000
31001212202222210200120221002200
4302010303032003212322100
5212331241021212401000
62100221135342043200
764250152136660223
oct6204631603467220
91055688720527080
10220232200122000
1164199a51588860
122084a586279500
1395b6a659cbbc1
143c5541c67b5ba
151a6db29216500
hexc84cce0e6e90

220232200122000 has 240 divisors, whose sum is σ = 839124725437440. Its totient is φ = 53389624224000.

The previous prime is 220232200121861. The next prime is 220232200122059. The reversal of 220232200122000 is 221002232022.

220232200122000 is a `hidden beast` number, since 2 + 20 + 232 + 200 + 12 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555943920 + ... + 556339919.

It is an arithmetic number, because the mean of its divisors is an integer number (3496353022656).

Almost surely, 2220232200122000 is an apocalyptic number.

220232200122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220232200122000 is an abundant number, since it is smaller than the sum of its proper divisors (618892525315440).

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

220232200122000 is a wasteful number, since it uses less digits than its factorization.

220232200122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112283879 (or 1112283860 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 220232200122000 its reverse (221002232022), we get a palindrome (220453202354022).

The spelling of 220232200122000 in words is "two hundred twenty trillion, two hundred thirty-two billion, two hundred million, one hundred twenty-two thousand".