Search a number
-
+
10023002220 = 22357119832207
BaseRepresentation
bin10010101010110101…
…01110000001101100
3221212112001021020110
421111122232001230
5131011342032340
64334323420020
7503244053550
oct112532560154
927775037213
1010023002220
1142837a5a10
121b38824610
13c396b225a
146b122d860
153d9e03680
hex2556ae06c

10023002220 has 192 divisors, whose sum is σ = 35040854016. Its totient is φ = 2079640320.

The previous prime is 10023002219. The next prime is 10023002221. The reversal of 10023002220 is 2220032001.

It is an interprime number because it is at equal distance from previous prime (10023002219) and next prime (10023002221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10023002196 and 10023002205.

It is not an unprimeable number, because it can be changed into a prime (10023002221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4540357 + ... + 4542563.

It is an arithmetic number, because the mean of its divisors is an integer number (182504448).

Almost surely, 210023002220 is an apocalyptic number.

10023002220 is a gapful number since it is divisible by the number (10) 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 10023002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520427008).

10023002220 is an abundant number, since it is smaller than the sum of its proper divisors (25017851796).

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

10023002220 is a wasteful number, since it uses less digits than its factorization.

10023002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10023002220 its reverse (2220032001), we get a palindrome (12243034221).

The spelling of 10023002220 in words is "ten billion, twenty-three million, two thousand, two hundred twenty".