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2230336540 = 2253110135617
BaseRepresentation
bin1000010011110000…
…0011110000011100
312202102202211120001
42010330003300130
514031431232130
61005151504044
7106161355615
oct20474036034
95672684501
102230336540
11a44a6a943
12522b28024
132970c3883
141722d6c0c
15d0c106ca
hex84f03c1c

2230336540 has 48 divisors (see below), whose sum is σ = 4882800384. Its totient is φ = 854784000.

The previous prime is 2230336523. The next prime is 2230336597. The reversal of 2230336540 is 456330322.

It is a junction number, because it is equal to n+sod(n) for n = 2230336499 and 2230336508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44812 + ... + 80428.

It is an arithmetic number, because the mean of its divisors is an integer number (101725008).

Almost surely, 22230336540 is an apocalyptic number.

2230336540 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 2230336540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441400192).

2230336540 is an abundant number, since it is smaller than the sum of its proper divisors (2652463844).

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

2230336540 is a wasteful number, since it uses less digits than its factorization.

2230336540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35758 (or 35756 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 2230336540 is about 47226.4389934282. The cubic root of 2230336540 is about 1306.5422750819.

Adding to 2230336540 its reverse (456330322), we get a palindrome (2686666862).

The spelling of 2230336540 in words is "two billion, two hundred thirty million, three hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 1010 2020 3131 6262 12524 15655 31310 35617 62620 71234 142468 178085 356170 712340 1104127 2208254 3597317 4416508 5520635 7194634 11041270 14389268 17986585 22082540 35973170 71946340 111516827 223033654 446067308 557584135 1115168270 2230336540