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2240113410 = 232529858281
BaseRepresentation
bin1000010110000101…
…0110101100000010
312210010011112220100
42011201112230002
514041432112120
61010141223230
7106340435613
oct20541265402
95703145810
102240113410
11a4a5383a7
12526261b16
132991379c2
1417371dc0a
15d19e2490
hex85856b02

2240113410 has 48 divisors (see below), whose sum is σ = 6025139640. Its totient is φ = 576764160.

The previous prime is 2240113399. The next prime is 2240113411. The reversal of 2240113410 is 143110422.

2240113410 is a `hidden beast` number, since 2 + 240 + 1 + 13 + 410 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2170907649 + 69205761 = 46593^2 + 8319^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2240113411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426531 + ... + 431750.

Almost surely, 22240113410 is an apocalyptic number.

2240113410 is an abundant number, since it is smaller than the sum of its proper divisors (3785026230).

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

2240113410 is a wasteful number, since it uses less digits than its factorization.

2240113410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858323 (or 858320 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2240113410 is about 47329.8363614327. The cubic root of 2240113410 is about 1308.4486053474.

Adding to 2240113410 its reverse (143110422), we get a palindrome (2383223832).

The spelling of 2240113410 in words is "two billion, two hundred forty million, one hundred thirteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 858281 1716562 2574843 4291405 5149686 7724529 8582810 12874215 15449058 24890149 25748430 38622645 49780298 74670447 77245290 124450745 149340894 224011341 248901490 373352235 448022682 746704470 1120056705 2240113410