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2323146016 = 251714928661
BaseRepresentation
bin1000101001111000…
…0110010100100000
312222220102001020001
42022132012110200
514224211133031
61022305025344
7111366262312
oct21236062440
95886361201
102323146016
11a9239aa94
1254a025254
132b03ba519
141807757b2
15d8e44861
hex8a786520

2323146016 has 48 divisors (see below), whose sum is σ = 4875406200. Its totient is φ = 1085870080.

The previous prime is 2323145989. The next prime is 2323146029. The reversal of 2323146016 is 6106413232.

It can be written as a sum of positive squares in 4 ways, for example, as 2284457616 + 38688400 = 47796^2 + 6220^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66726 + ... + 95386.

Almost surely, 22323146016 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 2323146016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437703100).

2323146016 is an abundant number, since it is smaller than the sum of its proper divisors (2552260184).

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

2323146016 is a wasteful number, since it uses less digits than its factorization.

2323146016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28837 (or 28829 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2323146016 is about 48199.0250523805. The cubic root of 2323146016 is about 1324.4193047677.

Adding to 2323146016 its reverse (6106413232), we get a palindrome (8429559248).

The spelling of 2323146016 in words is "two billion, three hundred twenty-three million, one hundred forty-six thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 149 272 298 544 596 1192 2384 2533 4768 5066 10132 20264 28661 40528 57322 81056 114644 229288 458576 487237 917152 974474 1948948 3897896 4270489 7795792 8540978 15591584 17081956 34163912 68327824 72598313 136655648 145196626 290393252 580786504 1161573008 2323146016