Search a number
-
+
2323214402040 = 233257972194837
BaseRepresentation
bin100001110011101010010…
…111101000000111111000
322020002121210202200121100
4201303222113220013320
5301030420341331130
64535134151211400
7326563263410010
oct41635227500770
98202553680540
102323214402040
118162a6a66a14
12316307976b60
1313b1029ac83c
1480630b70c40
15406736ecc60
hex21cea5e81f8

2323214402040 has 192 divisors, whose sum is σ = 8630060736960. Its totient is φ = 530960209920.

The previous prime is 2323214402027. The next prime is 2323214402107. The reversal of 2323214402040 is 402044123232.

2323214402040 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 214 + 402 + 0 + 40 = 666.

2323214402040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2323214401995 and 2323214402013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24449502 + ... + 24544338.

It is an arithmetic number, because the mean of its divisors is an integer number (44948233005).

Almost surely, 22323214402040 is an apocalyptic number.

2323214402040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2323214402040 is an abundant number, since it is smaller than the sum of its proper divisors (6306846334920).

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

2323214402040 is a wasteful number, since it uses less digits than its factorization.

2323214402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104582 (or 104575 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2323214402040 its reverse (402044123232), we get a palindrome (2725258525272).

The spelling of 2323214402040 in words is "two trillion, three hundred twenty-three billion, two hundred fourteen million, four hundred two thousand, forty".