Search a number
-
+
23232303300 = 22352491157721
BaseRepresentation
bin10101101000110000…
…001101000011000100
32012222002200021210210
4111220300031003010
5340034432201200
614401152515420
71451501214453
oct255060150304
965862607723
1023232303300
119942036368
12460454bb70
13226324693b
1411a56bcb9a
1590e8ea650
hex568c0d0c4

23232303300 has 72 divisors (see below), whose sum is σ = 67356126432. Its totient is φ = 6182624000.

The previous prime is 23232303299. The next prime is 23232303319. The reversal of 23232303300 is 330323232.

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 23 ways as a sum of consecutive naturals, for example, 68440 + ... + 226160.

It is an arithmetic number, because the mean of its divisors is an integer number (935501756).

Almost surely, 223232303300 is an apocalyptic number.

23232303300 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 23232303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33678063216).

23232303300 is an abundant number, since it is smaller than the sum of its proper divisors (44123823132).

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

23232303300 is a wasteful number, since it uses less digits than its factorization.

23232303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158229 (or 158222 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 23232303300 its reverse (330323232), we get a palindrome (23562626532).

The spelling of 23232303300 in words is "twenty-three billion, two hundred thirty-two million, three hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 491 982 1473 1964 2455 2946 4910 5892 7365 9820 12275 14730 24550 29460 36825 49100 73650 147300 157721 315442 473163 630884 788605 946326 1577210 1892652 2365815 3154420 3943025 4731630 7886050 9463260 11829075 15772100 23658150 47316300 77441011 154882022 232323033 309764044 387205055 464646066 774410110 929292132 1161615165 1548820220 1936025275 2323230330 3872050550 4646460660 5808075825 7744101100 11616151650 23232303300