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2332906240 = 28573137227
BaseRepresentation
bin1000101100001101…
…0101001100000000
320000120202220201211
42023003111030000
514234210444430
61023254135504
7111545242630
oct21303251400
96016686654
102332906240
11a97956a95
12551351594
132b2426bc2
14181b966c0
15d9c2172a
hex8b0d5300

2332906240 has 288 divisors, whose sum is σ = 6800338944. Its totient is φ = 749813760.

The previous prime is 2332906229. The next prime is 2332906267. The reversal of 2332906240 is 426092332.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10277007 + ... + 10277233.

It is an arithmetic number, because the mean of its divisors is an integer number (23612288).

Almost surely, 22332906240 is an apocalyptic number.

2332906240 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 2332906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400169472).

2332906240 is an abundant number, since it is smaller than the sum of its proper divisors (4467432704).

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

2332906240 is a wasteful number, since it uses less digits than its factorization.

2332906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 2332906240 is about 48300.1681156495. The cubic root of 2332906240 is about 1326.2714725129.

Adding to 2332906240 its reverse (426092332), we get a palindrome (2758998572).

The spelling of 2332906240 in words is "two billion, three hundred thirty-two million, nine hundred six thousand, two hundred forty".