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2323213020 = 2232535336563
BaseRepresentation
bin1000101001111001…
…0110101011011100
312222220112110010200
42022132112223130
514224220304040
61022310303500
7111366661542
oct21236265334
95886473120
102323213020
11a92436367
1254a057b90
132b0411b7b
14180791d92
15d8e59630
hex8a796adc

2323213020 has 72 divisors (see below), whose sum is σ = 7067236176. Its totient is φ = 617751552.

The previous prime is 2323212977. The next prime is 2323213027. The reversal of 2323213020 is 203123232.

It is a happy number.

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 = 2323212984 and 2323213002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323213027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45259 + ... + 81821.

It is an arithmetic number, because the mean of its divisors is an integer number (98156058).

Almost surely, 22323213020 is an apocalyptic number.

2323213020 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 2323213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533618088).

2323213020 is an abundant number, since it is smaller than the sum of its proper divisors (4744023156).

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

2323213020 is a wasteful number, since it uses less digits than its factorization.

2323213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36931 (or 36926 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2323213020 is about 48199.7201236688. The cubic root of 2323213020 is about 1324.4320375787.

Adding to 2323213020 its reverse (203123232), we get a palindrome (2526336252).

The spelling of 2323213020 in words is "two billion, three hundred twenty-three million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 10590 12708 15885 21180 31770 36563 63540 73126 109689 146252 182815 219378 329067 365630 438756 548445 658134 731260 1096890 1316268 1645335 2193780 3290670 6581340 12906739 25813478 38720217 51626956 64533695 77440434 116160651 129067390 154880868 193601085 232321302 258134780 387202170 464642604 580803255 774404340 1161606510 2323213020