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2312024144 = 243117926041
BaseRepresentation
bin1000100111001110…
…1011000001010000
312222010110222212212
42021303223001100
514213334233034
61021230411252
7111202611113
oct21163530120
95863428785
102312024144
11a87093a61
12546360b28
132aacc5131
1417d0bc57a
15d7e992ce
hex89ceb050

2312024144 has 40 divisors (see below), whose sum is σ = 4650059520. Its totient is φ = 1112428800.

The previous prime is 2312024131. The next prime is 2312024161. The reversal of 2312024144 is 4414202132.

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 7 ways as a sum of consecutive naturals, for example, 75764 + ... + 101804.

It is an arithmetic number, because the mean of its divisors is an integer number (116251488).

Almost surely, 22312024144 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 2312024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325029760).

2312024144 is an abundant number, since it is smaller than the sum of its proper divisors (2338035376).

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

2312024144 is a wasteful number, since it uses less digits than its factorization.

2312024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26259 (or 26253 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2312024144 is about 48083.5121845316. The cubic root of 2312024144 is about 1322.3024065530.

Adding to 2312024144 its reverse (4414202132), we get a palindrome (6726226276).

The spelling of 2312024144 in words is "two billion, three hundred twelve million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 179 248 358 496 716 1432 2864 5549 11098 22196 26041 44392 52082 88784 104164 208328 416656 807271 1614542 3229084 4661339 6458168 9322678 12916336 18645356 37290712 74581424 144501509 289003018 578006036 1156012072 2312024144