Search a number
-
+
10233332220 = 223553103157199
BaseRepresentation
bin10011000011111010…
…00100000111111100
3222102011211010202110
421201331010013330
5131424213112340
64411235454020
7511406613546
oct114175040774
928364733673
1010233332220
1143814a3a61
121b97157310
13c71145387
146d1140696
153ed5ed680
hex261f441fc

10233332220 has 192 divisors, whose sum is σ = 29814220800. Its totient is φ = 2621279232.

The previous prime is 10233332203. The next prime is 10233332251. The reversal of 10233332220 is 2223333201.

10233332220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 51423681 + ... + 51423879.

It is an arithmetic number, because the mean of its divisors is an integer number (155282400).

Almost surely, 210233332220 is an apocalyptic number.

10233332220 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 10233332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14907110400).

10233332220 is an abundant number, since it is smaller than the sum of its proper divisors (19580888580).

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

10233332220 is a wasteful number, since it uses less digits than its factorization.

10233332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 10233332220 its reverse (2223333201), we get a palindrome (12456665421).

The spelling of 10233332220 in words is "ten billion, two hundred thirty-three million, three hundred thirty-two thousand, two hundred twenty".