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4205112340 = 22511131470319
BaseRepresentation
bin1111101010100100…
…1110110000010100
3101212001122211200111
43322221032300110
532103002043330
61533134052404
7206130602512
oct37251166024
911761584614
104205112340
111868749160
1299434a104
13520278970
142bc6a74b2
1519928e32a
hexfaa4ec14

4205112340 has 48 divisors (see below), whose sum is σ = 10374577920. Its totient is φ = 1411505280.

The previous prime is 4205112313. The next prime is 4205112341. The reversal of 4205112340 is 432115024.

4205112340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205112341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732300 + ... + 738019.

It is an arithmetic number, because the mean of its divisors is an integer number (216137040).

Almost surely, 24205112340 is an apocalyptic number.

It is an amenable number.

4205112340 is an abundant number, since it is smaller than the sum of its proper divisors (6169465580).

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

4205112340 is a wasteful number, since it uses less digits than its factorization.

4205112340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470352 (or 1470350 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4205112340 is about 64846.8375481796. The cubic root of 4205112340 is about 1614.0830151794.

Adding to 4205112340 its reverse (432115024), we get a palindrome (4637227364).

The spelling of 4205112340 in words is "four billion, two hundred five million, one hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 1470319 2940638 5881276 7351595 14703190 16173509 19114147 29406380 32347018 38228294 64694036 76456588 80867545 95570735 161735090 191141470 210255617 323470180 382282940 420511234 841022468 1051278085 2102556170 4205112340