Search a number
-
+
2323303020 = 2233510341771
BaseRepresentation
bin1000101001111010…
…1100101001101100
312222220201000121000
42022132230221230
514224231144040
61022312240300
7111400515123
oct21236545154
95886630530
102323303020
11a92497a45
1254a0a0090
132b0443b1c
141807b6aba
15d8e76130
hex8a7aca6c

2323303020 has 96 divisors (see below), whose sum is σ = 7298403840. Its totient is φ = 613517760.

The previous prime is 2323303019. The next prime is 2323303027. The reversal of 2323303020 is 203033232.

2323303020 is a `hidden beast` number, since 2 + 32 + 330 + 302 + 0 = 666.

2323303020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23233030202 = 10795473845482240800, which contains 22 as substring.

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 = 2323302984 and 2323303002.

It is not an unprimeable number, because it can be changed into a prime (2323303027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34735 + ... + 76505.

It is an arithmetic number, because the mean of its divisors is an integer number (76025040).

Almost surely, 22323303020 is an apocalyptic number.

2323303020 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 2323303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649201920).

2323303020 is an abundant number, since it is smaller than the sum of its proper divisors (4975100820).

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

2323303020 is a wasteful number, since it uses less digits than its factorization.

2323303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41892 (or 41884 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 2323303020 is about 48200.6537300066. The cubic root of 2323303020 is about 1324.4491399485.

Adding to 2323303020 its reverse (203033232), we get a palindrome (2526336252).

The spelling of 2323303020 in words is "two billion, three hundred twenty-three million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 103 108 135 180 206 270 309 412 515 540 618 927 1030 1236 1545 1854 2060 2781 3090 3708 4635 5562 6180 9270 11124 13905 18540 27810 41771 55620 83542 125313 167084 208855 250626 375939 417710 501252 626565 751878 835420 1127817 1253130 1503756 1879695 2255634 2506260 3759390 4302413 4511268 5639085 7518780 8604826 11278170 12907239 17209652 21512065 22556340 25814478 38721717 43024130 51628956 64536195 77443434 86048260 116165151 129072390 154886868 193608585 232330302 258144780 387217170 464660604 580825755 774434340 1161651510 2323303020