Search a number
-
+
2324226460 = 2252911933359
BaseRepresentation
bin1000101010001000…
…1110000110011100
312222222102221022111
42022202032012130
514230000221320
61022344123404
7111411412303
oct21242160634
95888387274
102324226460
11a92a68816
1254a466564
132b06a823a
1418097743a
15d90a9a5a
hex8a88e19c

2324226460 has 48 divisors (see below), whose sum is σ = 5054918400. Its totient is φ = 896612864.

The previous prime is 2324226439. The next prime is 2324226479. The reversal of 2324226460 is 646224232.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 690261 + ... + 693619.

It is an arithmetic number, because the mean of its divisors is an integer number (105310800).

Almost surely, 22324226460 is an apocalyptic number.

2324226460 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 2324226460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527459200).

2324226460 is an abundant number, since it is smaller than the sum of its proper divisors (2730691940).

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

2324226460 is a wasteful number, since it uses less digits than its factorization.

2324226460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 2324226460 is about 48210.2319015373. The cubic root of 2324226460 is about 1324.6245923536.

The spelling of 2324226460 in words is "two billion, three hundred twenty-four million, two hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1193 2386 3359 4772 5965 6718 11930 13436 16795 23860 33590 34597 67180 69194 97411 138388 172985 194822 345970 389644 487055 691940 974110 1948220 4007287 8014574 16029148 20036435 40072870 80145740 116211323 232422646 464845292 581056615 1162113230 2324226460