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2423144232 = 2332177127883
BaseRepresentation
bin1001000001101110…
…0011111100101000
320020212120110222200
42100123203330220
514430311103412
61040240220200
7114022246305
oct22033437450
96225513880
102423144232
111033890143
1257760a660
132c8030272
1418db660ac
15e2ae89dc
hex906e3f28

2423144232 has 96 divisors (see below), whose sum is σ = 7046844480. Its totient is φ = 749468160.

The previous prime is 2423144221. The next prime is 2423144257. The reversal of 2423144232 is 2324413242.

2423144232 is a `hidden beast` number, since 2 + 4 + 231 + 4 + 423 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2423144196 and 2423144205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72963 + ... + 100845.

It is an arithmetic number, because the mean of its divisors is an integer number (73404630).

Almost surely, 22423144232 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 2423144232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523422240).

2423144232 is an abundant number, since it is smaller than the sum of its proper divisors (4623700248).

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

2423144232 is a wasteful number, since it uses less digits than its factorization.

2423144232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27983 (or 27976 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2423144232 is about 49225.4429335075. The cubic root of 2423144232 is about 1343.1558926896.

Adding to 2423144232 its reverse (2324413242), we get a palindrome (4747557474).

The spelling of 2423144232 in words is "two billion, four hundred twenty-three million, one hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 71 72 102 136 142 153 204 213 284 306 408 426 568 612 639 852 1207 1224 1278 1704 2414 2556 3621 4828 5112 7242 9656 10863 14484 21726 27883 28968 43452 55766 83649 86904 111532 167298 223064 250947 334596 474011 501894 669192 948022 1003788 1422033 1896044 1979693 2007576 2844066 3792088 3959386 4266099 5688132 5939079 7918772 8532198 11376264 11878158 15837544 17064396 17817237 23756316 33654781 34128792 35634474 47512632 67309562 71268948 100964343 134619124 142537896 201928686 269238248 302893029 403857372 605786058 807714744 1211572116 2423144232