Search a number
-
+
23233002320 = 2451126401139
BaseRepresentation
bin10101101000110010…
…110111101101010000
32012222010222210200102
4111220302313231100
5340040122033240
614401215511532
71451510155433
oct255062675520
965863883612
1023233002320
119942473570
1246048285a8
13226342cb68
1411a582181a
1590e9d7815
hex568cb7b50

23233002320 has 40 divisors (see below), whose sum is σ = 58927344480. Its totient is φ = 8448364160.

The previous prime is 23233002307. The next prime is 23233002329. The reversal of 23233002320 is 2320033232.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×232330023202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23233002292 and 23233002301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23233002329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13199690 + ... + 13201449.

It is an arithmetic number, because the mean of its divisors is an integer number (1473183612).

Almost surely, 223233002320 is an apocalyptic number.

23233002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23233002320 is an abundant number, since it is smaller than the sum of its proper divisors (35694342160).

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

23233002320 is a wasteful number, since it uses less digits than its factorization.

23233002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26401163 (or 26401157 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 23233002320 its reverse (2320033232), we get a palindrome (25553035552).

The spelling of 23233002320 in words is "twenty-three billion, two hundred thirty-three million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 26401139 52802278 105604556 132005695 211209112 264011390 290412529 422418224 528022780 580825058 1056045560 1161650116 1452062645 2112091120 2323300232 2904125290 4646600464 5808250580 11616501160 23233002320