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2230410440 = 235321717333
BaseRepresentation
bin1000010011110001…
…0101110011001000
312202102220120221002
42010330111303020
514031441113230
61005153234132
7106162114226
oct20474256310
95672816832
102230410440
11a45010415
12522b62948
1329711b3bb
14172315b16
15d0c27545
hex84f15cc8

2230410440 has 32 divisors (see below), whose sum is σ = 5020273080. Its totient is φ = 891835392.

The previous prime is 2230410433. The next prime is 2230410443. The reversal of 2230410440 is 440140322.

It can be written as a sum of positive squares in 4 ways, for example, as 1698923524 + 531486916 = 41218^2 + 23054^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2230410443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120014 + ... + 137346.

Almost surely, 22230410440 is an apocalyptic number.

2230410440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230410440 is an abundant number, since it is smaller than the sum of its proper divisors (2789862640).

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

2230410440 is a wasteful number, since it uses less digits than its factorization.

2230410440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20561 (or 20557 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2230410440 is about 47227.2213876701. The cubic root of 2230410440 is about 1306.5567052521.

Adding to 2230410440 its reverse (440140322), we get a palindrome (2670550762).

The spelling of 2230410440 in words is "two billion, two hundred thirty million, four hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 3217 6434 12868 16085 17333 25736 32170 34666 64340 69332 86665 128680 138664 173330 346660 693320 55760261 111520522 223041044 278801305 446082088 557602610 1115205220 2230410440