Search a number
-
+
233530301540220 = 223561672234270537
BaseRepresentation
bin110101000110010100000010…
…101010101110011101111100
31010121212021112020111112112120
4311012110002222232131330
5221102130024143241340
62144402201154402540
7100122002401002366
oct6506240252563574
91117767466445476
10233530301540220
11684567101081a3
12222378a1590450
13a03ca7505aa39
144194cd95c9d36
151bee9d452e4d0
hexd46502aae77c

233530301540220 has 192 divisors, whose sum is σ = 677548663443456. Its totient is φ = 60069017733120.

The previous prime is 233530301540177. The next prime is 233530301540243. The reversal of 233530301540220 is 22045103035332.

233530301540220 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52548792 + ... + 56819328.

It is an arithmetic number, because the mean of its divisors is an integer number (3528899288768).

Almost surely, 2233530301540220 is an apocalyptic number.

233530301540220 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 233530301540220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338774331721728).

233530301540220 is an abundant number, since it is smaller than the sum of its proper divisors (444018361903236).

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

233530301540220 is a wasteful number, since it uses less digits than its factorization.

233530301540220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270900 (or 4270898 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 233530301540220 its reverse (22045103035332), we get a palindrome (255575404575552).

The spelling of 233530301540220 in words is "two hundred thirty-three trillion, five hundred thirty billion, three hundred one million, five hundred forty thousand, two hundred twenty".