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2331263440 = 2451122337283
BaseRepresentation
bin1000101011110100…
…0100000111010000
320000110200110020101
42022331010013100
514233300412230
61023155022144
7111525261262
oct21275040720
96013613211
102331263440
11a96a34800
1255089a954
132b1ca022c
14181889b32
15d99e9aca
hex8af441d0

2331263440 has 240 divisors, whose sum is σ = 6407339904. Its totient is φ = 786170880.

The previous prime is 2331263437. The next prime is 2331263461. The reversal of 2331263440 is 443621332.

It is a junction number, because it is equal to n+sod(n) for n = 2331263399 and 2331263408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8237539 + ... + 8237821.

Almost surely, 22331263440 is an apocalyptic number.

2331263440 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 2331263440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203669952).

2331263440 is an abundant number, since it is smaller than the sum of its proper divisors (4076076464).

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

2331263440 is a wasteful number, since it uses less digits than its factorization.

2331263440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 2331263440 is about 48283.1589687336. The cubic root of 2331263440 is about 1325.9600854592.

Adding to 2331263440 its reverse (443621332), we get a palindrome (2774884772).

The spelling of 2331263440 in words is "two billion, three hundred thirty-one million, two hundred sixty-three thousand, four hundred forty".