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2423140832 = 2571719107313
BaseRepresentation
bin1001000001101110…
…0011000111100000
320020212120022022202
42100123203013200
514430311001312
61040240152332
7114022233350
oct22033430740
96225508282
102423140832
111033888632
125776086a8
132c802b858
1418db64b60
15e2ae79c2
hex906e31e0

2423140832 has 192 divisors, whose sum is σ = 6152993280. Its totient is φ = 914374656.

The previous prime is 2423140831. The next prime is 2423140843. The reversal of 2423140832 is 2380413242.

It is a super-2 number, since 2×24231408322 = 11743222983411304448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2423140795 and 2423140804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423140831) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7741508 + ... + 7741820.

It is an arithmetic number, because the mean of its divisors is an integer number (32046840).

Almost surely, 22423140832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2423140832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076496640).

2423140832 is an abundant number, since it is smaller than the sum of its proper divisors (3729852448).

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

2423140832 is a wasteful number, since it uses less digits than its factorization.

2423140832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 2423140832 is about 49225.4083985090. The cubic root of 2423140832 is about 1343.1552644794.

The spelling of 2423140832 in words is "two billion, four hundred twenty-three million, one hundred forty thousand, eight hundred thirty-two".