Search a number
-
+
2329425280 = 275713233747
BaseRepresentation
bin1000101011011000…
…0011010110000000
320000100020001202101
42022312003112000
514232313102110
61023051400144
7111503534230
oct21266032600
96010201671
102329425280
11a95999766
12550153054
132b17a8670
1418152bcc0
15d978513a
hex8ad83580

2329425280 has 512 divisors, whose sum is σ = 7501455360. Its totient is φ = 671514624.

The previous prime is 2329425253. The next prime is 2329425299. The reversal of 2329425280 is 825249232.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 49562217 + ... + 49562263.

It is an arithmetic number, because the mean of its divisors is an integer number (14651280).

Almost surely, 22329425280 is an apocalyptic number.

2329425280 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 2329425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750727680).

2329425280 is an abundant number, since it is smaller than the sum of its proper divisors (5172030080).

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

2329425280 is a wasteful number, since it uses less digits than its factorization.

2329425280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 2329425280 is about 48264.1200064810. The cubic root of 2329425280 is about 1325.6114951303.

The spelling of 2329425280 in words is "two billion, three hundred twenty-nine million, four hundred twenty-five thousand, two hundred eighty".