Search a number
-
+
23364080820 = 22325113932
BaseRepresentation
bin10101110000100110…
…111001010010110100
32020022021122021120200
4111300212321102310
5340322201041240
614422221200500
71454661260463
oct256046712264
966267567520
1023364080820
1199aa461803
124640700130
1322846354c2
1411b8dc29da
1591b27a930
hex5709b94b4

23364080820 has 54 divisors (see below), whose sum is σ = 70877266278. Its totient is φ = 6229874688.

The previous prime is 23364080813. The next prime is 23364080827. The reversal of 23364080820 is 2808046332.

23364080820 is a `hidden beast` number, since 2 + 3 + 3 + 640 + 8 + 0 + 8 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23364080813) and next prime (23364080827).

It can be written as a sum of positive squares in 3 ways, for example, as 6937557264 + 16426523556 = 83292^2 + 128166^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23364080827) 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 17 ways as a sum of consecutive naturals, for example, 2045044 + ... + 2056436.

Almost surely, 223364080820 is an apocalyptic number.

23364080820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23364080820 is an abundant number, since it is smaller than the sum of its proper divisors (47513185458).

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

23364080820 is an equidigital number, since it uses as much as digits as its factorization.

23364080820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22801 (or 11403 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 23364080820 in words is "twenty-three billion, three hundred sixty-four million, eighty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11393 22786 34179 45572 56965 68358 102537 113930 136716 170895 205074 227860 341790 410148 512685 683580 1025370 2050740 129800449 259600898 389401347 519201796 649002245 778802694 1168204041 1298004490 1557605388 1947006735 2336408082 2596008980 3894013470 4672816164 5841020205 7788026940 11682040410 23364080820