Search a number
-
+
2310230120220 = 223251115175110289
BaseRepresentation
bin100001100111100100011…
…100100001011100011100
322011212002220112211102200
4201213210130201130130
5300322322402321340
64525145521051500
7325623441005661
oct41474434413434
98155086484380
102310230120220
118108437478a0
123138a3486b90
13139b13952349
147db5c537a68
1540163853330
hex219e472171c

2310230120220 has 288 divisors, whose sum is σ = 7706384824320. Its totient is φ = 555552000000.

The previous prime is 2310230120207. The next prime is 2310230120243. The reversal of 2310230120220 is 220210320132.

2310230120220 is a `hidden beast` number, since 2 + 310 + 230 + 120 + 2 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2310230120193 and 2310230120202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224528836 + ... + 224539124.

It is an arithmetic number, because the mean of its divisors is an integer number (26758280640).

Almost surely, 22310230120220 is an apocalyptic number.

2310230120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2310230120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853192412160).

2310230120220 is an abundant number, since it is smaller than the sum of its proper divisors (5396154704100).

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

2310230120220 is a wasteful number, since it uses less digits than its factorization.

2310230120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11217 (or 11212 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2310230120220 its reverse (220210320132), we get a palindrome (2530440440352).

The spelling of 2310230120220 in words is "two trillion, three hundred ten billion, two hundred thirty million, one hundred twenty thousand, two hundred twenty".