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2240114430 = 2355310931289
BaseRepresentation
bin1000010110000101…
…0110111011111110
312210010011121022010
42011201112323332
514041432130210
61010141232050
7106340441601
oct20541267376
95703147263
102240114430
11a4a539144
12526262626
132991382c8
14173720338
15d19e2920
hex85856efe

2240114430 has 64 divisors (see below), whose sum is σ = 5486978880. Its totient is φ = 585102336.

The previous prime is 2240114389. The next prime is 2240114449. The reversal of 2240114430 is 344110422.

It is a super-2 number, since 2×22401144302 = 10036225318988449800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2240114397 and 2240114406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1737226 + ... + 1738514.

It is an arithmetic number, because the mean of its divisors is an integer number (85734045).

Almost surely, 22240114430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240114430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743489440).

2240114430 is an abundant number, since it is smaller than the sum of its proper divisors (3246864450).

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

2240114430 is a wasteful number, since it uses less digits than its factorization.

2240114430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2240114430 is about 47329.8471368755. The cubic root of 2240114430 is about 1308.4488039412.

Adding to 2240114430 its reverse (344110422), we get a palindrome (2584224852).

The spelling of 2240114430 in words is "two billion, two hundred forty million, one hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1093 1289 1590 2186 2578 3279 3867 5465 6445 6558 7734 10930 12890 16395 19335 32790 38670 57929 68317 115858 136634 173787 204951 289645 341585 347574 409902 579290 683170 868935 1024755 1408877 1737870 2049510 2817754 4226631 7044385 8453262 14088770 21133155 42266310 74670481 149340962 224011443 373352405 448022886 746704810 1120057215 2240114430