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2231200340 = 2254312292111
BaseRepresentation
bin1000010011111101…
…0110101001010100
312202111101201110122
42010333112221110
514032141402330
61005222211112
7106201614155
oct20477265124
95674351418
102231200340
11a454aa926
12523283a98
13297336ab5
1417247d92c
15d0d315e5
hex84fd6a54

2231200340 has 48 divisors (see below), whose sum is σ = 4800660480. Its totient is φ = 870602880.

The previous prime is 2231200291. The next prime is 2231200421. The reversal of 2231200340 is 430021322.

2231200340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22312003403 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055885 + ... + 1057995.

It is an arithmetic number, because the mean of its divisors is an integer number (100013760).

Almost surely, 22231200340 is an apocalyptic number.

2231200340 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 2231200340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400330240).

2231200340 is an abundant number, since it is smaller than the sum of its proper divisors (2569460140).

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

2231200340 is a wasteful number, since it uses less digits than its factorization.

2231200340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2231200340 is about 47235.5834091207. The cubic root of 2231200340 is about 1306.7109260947.

Adding to 2231200340 its reverse (430021322), we get a palindrome (2661221662).

The spelling of 2231200340 in words is "two billion, two hundred thirty-one million, two hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1229 2111 2458 4222 4916 6145 8444 10555 12290 21110 24580 42220 52847 90773 105694 181546 211388 264235 363092 453865 528470 907730 1056940 1815460 2594419 5188838 10377676 12972095 25944190 51888380 111560017 223120034 446240068 557800085 1115600170 2231200340