Search a number
-
+
231533010122022 = 233724122735926189
BaseRepresentation
bin110100101001001111111010…
…110100100111010100100110
31010100210100011120022220022000
4310221033322310213110212
5220321414101042401042
62140232444011550130
766524464555032300
oct6451177264472446
91110710146286260
10231533010122022
1167856664184a74
1221b7479475b346
139c266139c62bb
144126386764970
151bb7a8922e74c
hexd293fad27526

231533010122022 has 384 divisors, whose sum is σ = 617558691456000. Its totient is φ = 64073077608960.

The previous prime is 231533010122009. The next prime is 231533010122077. The reversal of 231533010122022 is 220221010335132.

231533010122022 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 330 + 101 + 220 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8840836504 + ... + 8840862692.

It is an arithmetic number, because the mean of its divisors is an integer number (1608225759000).

Almost surely, 2231533010122022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231533010122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308779345728000).

231533010122022 is an abundant number, since it is smaller than the sum of its proper divisors (386025681333978).

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

231533010122022 is a wasteful number, since it uses less digits than its factorization.

231533010122022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26841 (or 26828 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 231533010122022 its reverse (220221010335132), we get a palindrome (451754020457154).

The spelling of 231533010122022 in words is "two hundred thirty-one trillion, five hundred thirty-three billion, ten million, one hundred twenty-two thousand, twenty-two".