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2240234040 = 23351123113653
BaseRepresentation
bin1000010110000111…
…0100001000111000
312210010101200101010
42011201310020320
514041444442130
61010143553520
7106341450402
oct20541641070
95703350333
102240234040
11a4a60aaa0
125262bb8a0
1329917a895
14173751b72
15d1a180b0
hex85874238

2240234040 has 256 divisors, whose sum is σ = 7729966080. Its totient is φ = 514088960.

The previous prime is 2240234023. The next prime is 2240234077. The reversal of 2240234040 is 404320422.

It is a junction number, because it is equal to n+sod(n) for n = 2240233998 and 2240234016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3430354 + ... + 3431006.

It is an arithmetic number, because the mean of its divisors is an integer number (30195180).

Almost surely, 22240234040 is an apocalyptic number.

2240234040 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 2240234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864983040).

2240234040 is an abundant number, since it is smaller than the sum of its proper divisors (5489732040).

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

2240234040 is a wasteful number, since it uses less digits than its factorization.

2240234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2240234040 is about 47331.1106989895. The cubic root of 2240234040 is about 1308.4720915575.

Adding to 2240234040 its reverse (404320422), we get a palindrome (2644554462).

The spelling of 2240234040 in words is "two billion, two hundred forty million, two hundred thirty-four thousand, forty".