Search a number
-
+
229531372238448 = 243272187917312377
BaseRepresentation
bin110100001100000111101111…
…111010000011011001110000
31010002200222120222111221110100
4310030013233322003121300
5220041120222243112243
62132101131241232400
766230044243532400
oct6414075772033160
91102628528457410
10229531372238448
1167154787837aa5
12218b0874192700
139b0c93c023a67
14409754055c800
151b8098756d0d3
hexd0c1efe83670

229531372238448 has 180 divisors, whose sum is σ = 747643353871440. Its totient is φ = 65545486530048.

The previous prime is 229531372238423. The next prime is 229531372238449. The reversal of 229531372238448 is 844832273135922.

229531372238448 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 3 + 137 + 22 + 38 + 448 = 666.

229531372238448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229531372238449) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4602036 + ... + 21914412.

Almost surely, 2229531372238448 is an apocalyptic number.

229531372238448 is a gapful number since it is divisible by the number (28) 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 229531372238448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373821676935720).

229531372238448 is an abundant number, since it is smaller than the sum of its proper divisors (518111981632992).

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

229531372238448 is a wasteful number, since it uses less digits than its factorization.

229531372238448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17314284 (or 17314268 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 229531372238448 in words is "two hundred twenty-nine trillion, five hundred thirty-one billion, three hundred seventy-two million, two hundred thirty-eight thousand, four hundred forty-eight".