Search a number
-
+
2423131040 = 2551117109743
BaseRepresentation
bin1001000001101110…
…0000101110100000
320020212112210220002
42100123200232200
514430310143130
61040240035132
7114022162661
oct22033405640
96225483802
102423131040
111033881240
12577602aa8
132c8027265
1418db61368
15e2ae4b45
hex906e0ba0

2423131040 has 192 divisors, whose sum is σ = 6682072320. Its totient is φ = 820592640.

The previous prime is 2423131021. The next prime is 2423131043. The reversal of 2423131040 is 401313242.

It is a super-2 number, since 2×24231310402 = 11743128074022963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2423131043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3260909 + ... + 3261651.

It is an arithmetic number, because the mean of its divisors is an integer number (34802460).

Almost surely, 22423131040 is an apocalyptic number.

2423131040 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 2423131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341036160).

2423131040 is an abundant number, since it is smaller than the sum of its proper divisors (4258941280).

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

2423131040 is a wasteful number, since it uses less digits than its factorization.

2423131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2423131040 is about 49225.3089375780. The cubic root of 2423131040 is about 1343.1534552306.

Adding to 2423131040 its reverse (401313242), we get a palindrome (2824444282).

The spelling of 2423131040 in words is "two billion, four hundred twenty-three million, one hundred thirty-one thousand, forty".