Search a number
-
+
23025312 = 2532312579
BaseRepresentation
bin101011111010…
…1011010100000
31121022210210100
41113311122200
521343302222
62141302400
7366466122
oct127653240
947283710
1023025312
1111aa7292
127864a00
134a0245b
1430b5212
15204c4ac
hex15f56a0

23025312 has 72 divisors (see below), whose sum is σ = 67616640. Its totient is φ = 7424640.

The previous prime is 23025311. The next prime is 23025319. The reversal of 23025312 is 21352032.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (23025311) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7639 + ... + 10217.

It is an arithmetic number, because the mean of its divisors is an integer number (939120).

Almost surely, 223025312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23025312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33808320).

23025312 is an abundant number, since it is smaller than the sum of its proper divisors (44591328).

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

23025312 is a wasteful number, since it uses less digits than its factorization.

23025312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23025312 is about 4798.4697560785. The cubic root of 23025312 is about 284.4909843192.

Adding to 23025312 its reverse (21352032), we get a palindrome (44377344).

The spelling of 23025312 in words is "twenty-three million, twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2579 2976 4464 5158 7737 8928 10316 15474 20632 23211 30948 41264 46422 61896 79949 82528 92844 123792 159898 185688 239847 247584 319796 371376 479694 639592 719541 742752 959388 1279184 1439082 1918776 2558368 2878164 3837552 5756328 7675104 11512656 23025312