Search a number
-
+
2232031320 = 233251723101157
BaseRepresentation
bin1000010100001010…
…0001100001011000
312202112221221100200
42011002201201120
514032400000240
61005252102200
7106211644641
oct20502414130
95675857320
102232031320
11a45a18192
12523604960
132975680bc
141726186c8
15d0e47930
hex850a1858

2232031320 has 384 divisors, whose sum is σ = 8145671040. Its totient is φ = 527155200.

The previous prime is 2232031309. The next prime is 2232031339. The reversal of 2232031320 is 231302322.

It is a happy number.

2232031320 is a `hidden beast` number, since 22 + 320 + 3 + 1 + 320 = 666.

It is a super-3 number, since 3×22320313203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2232031293 and 2232031302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14216682 + ... + 14216838.

It is an arithmetic number, because the mean of its divisors is an integer number (21212685).

Almost surely, 22232031320 is an apocalyptic number.

2232031320 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 2232031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072835520).

2232031320 is an abundant number, since it is smaller than the sum of its proper divisors (5913639720).

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

2232031320 is a wasteful number, since it uses less digits than its factorization.

2232031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2232031320 is about 47244.3787132395. The cubic root of 2232031320 is about 1306.8731281540.

Adding to 2232031320 its reverse (231302322), we get a palindrome (2463333642).

The spelling of 2232031320 in words is "two billion, two hundred thirty-two million, thirty-one thousand, three hundred twenty".