Search a number
-
+
23319122436 = 22323128212
BaseRepresentation
bin10101101101111011…
…011001001000000100
32020012011001011021100
4111231323121020010
5340224143404221
614413533420100
71453604161461
oct255573311004
966164034240
1023319122436
119987044915
12462963a630
132278223acc
1411b303c668
15917349926
hex56ded9204

23319122436 has 81 divisors (see below), whose sum is σ = 60982645269. Its totient is φ = 7513135200.

The previous prime is 23319122423. The next prime is 23319122443. The reversal of 23319122436 is 63422191332.

The square root of 23319122436 is 152706.

It is a perfect power (a square), and thus also a powerful number.

23319122436 is a `hidden beast` number, since 2 + 33 + 191 + 2 + 2 + 436 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6367082436 + 16952040000 = 79794^2 + 130200^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23319122436.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 28402906 + ... + 28403726.

Almost surely, 223319122436 is an apocalyptic number.

23319122436 is the 152706-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23319122436

23319122436 is an abundant number, since it is smaller than the sum of its proper divisors (37663522833).

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

23319122436 is an equidigital number, since it uses as much as digits as its factorization.

23319122436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 857 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

Multiplying 23319122436 by its sum of digits (36), we get a square (839488407696 = 9162362).

23319122436 divided by its sum of digits (36) gives a square (647753401 = 254512).

The spelling of 23319122436 in words is "twenty-three billion, three hundred nineteen million, one hundred twenty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 821 961 1116 1642 1922 2463 2883 3284 3844 4926 5766 7389 8649 9852 11532 14778 17298 25451 29556 34596 50902 76353 101804 152706 229059 305412 458118 674041 788981 916236 1348082 1577962 2022123 2366943 2696164 3155924 4044246 4733886 6066369 7100829 8088492 9467772 12132738 14201658 20895271 24265476 28403316 41790542 62685813 83581084 125371626 188057439 250743252 376114878 647753401 752229756 1295506802 1943260203 2591013604 3886520406 5829780609 7773040812 11659561218 23319122436