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2230342020 = 2233511336551
BaseRepresentation
bin1000010011110000…
…0101000110000100
312202102210010002000
42010330011012010
514031431421040
61005151545300
7106161410604
oct20474050604
95672703060
102230342020
11a44a73a75
12522b2b230
132970c620a
141722d8c04
15d0c12130
hex84f05184

2230342020 has 96 divisors (see below), whose sum is σ = 7000439040. Its totient is φ = 589478400.

The previous prime is 2230342007. The next prime is 2230342073. The reversal of 2230342020 is 202430322.

2230342020 is a `hidden beast` number, since 223 + 0 + 3 + 420 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2230341984 and 2230342002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42745 + ... + 79295.

It is an arithmetic number, because the mean of its divisors is an integer number (72921240).

Almost surely, 22230342020 is an apocalyptic number.

2230342020 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 2230342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500219520).

2230342020 is an abundant number, since it is smaller than the sum of its proper divisors (4770097020).

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

2230342020 is a wasteful number, since it uses less digits than its factorization.

2230342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36682 (or 36674 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2230342020 is about 47226.4970117412. The cubic root of 2230342020 is about 1306.5433451514.

Adding to 2230342020 its reverse (202430322), we get a palindrome (2432772342).

The spelling of 2230342020 in words is "two billion, two hundred thirty million, three hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 113 135 180 226 270 339 452 540 565 678 1017 1130 1356 1695 2034 2260 3051 3390 4068 5085 6102 6780 10170 12204 15255 20340 30510 36551 61020 73102 109653 146204 182755 219306 328959 365510 438612 548265 657918 731020 986877 1096530 1315836 1644795 1973754 2193060 3289590 3947508 4130263 4934385 6579180 8260526 9868770 12390789 16521052 19737540 20651315 24781578 37172367 41302630 49563156 61953945 74344734 82605260 111517101 123907890 148689468 185861835 223034202 247815780 371723670 446068404 557585505 743447340 1115171010 2230342020