Search a number
-
+
13332022220 = 2251119231011373
BaseRepresentation
bin11000110101010011…
…01000001111001100
31021102010112220022202
430122221220033030
5204300444202340
610042531301032
7651244214306
oct143251501714
937363486282
1013332022220
115721640690
122700a4a778
13134610205a
149068b6976
15530688c15
hex31aa683cc

13332022220 has 192 divisors, whose sum is σ = 33904604160. Its totient is φ = 4346496000.

The previous prime is 13332022199. The next prime is 13332022229. The reversal of 13332022220 is 2222023331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13332022192 and 13332022201.

It is not an unprimeable number, because it can be changed into a prime (13332022229) 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, 9709454 + ... + 9710826.

It is an arithmetic number, because the mean of its divisors is an integer number (176586480).

Almost surely, 213332022220 is an apocalyptic number.

13332022220 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 13332022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952302080).

13332022220 is an abundant number, since it is smaller than the sum of its proper divisors (20572581940).

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

13332022220 is a wasteful number, since it uses less digits than its factorization.

13332022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13332022220 its reverse (2222023331), we get a palindrome (15554045551).

The spelling of 13332022220 in words is "thirteen billion, three hundred thirty-two million, twenty-two thousand, two hundred twenty".