Search a number
-
+
23454216225 = 3452111052939
BaseRepresentation
bin10101110101111110…
…101111000000100001
32020112120020122010000
4111311332233000201
5341013234404400
614435201130213
71460134356066
oct256576570041
966476218100
1023454216225
119a46325880
124666929969
13229a203c6b
1411c6d66c6d
15924132600
hex575faf021

23454216225 has 60 divisors (see below), whose sum is σ = 47394935280. Its totient is φ = 11371730400.

The previous prime is 23454216199. The next prime is 23454216257. The reversal of 23454216225 is 52261245432.

23454216225 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 4 + 21 + 622 + 5 = 666.

It is not a de Polignac number, because 23454216225 - 26 = 23454216161 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23454216225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 504195 + ... + 548744.

It is an arithmetic number, because the mean of its divisors is an integer number (789915588).

Almost surely, 223454216225 is an apocalyptic number.

23454216225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23454216225 is an abundant number, since it is smaller than the sum of its proper divisors (23940719055).

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

23454216225 is a wasteful number, since it uses less digits than its factorization.

23454216225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052972 (or 1052958 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 23454216225 in words is "twenty-three billion, four hundred fifty-four million, two hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 275 297 405 495 675 825 891 1485 2025 2475 4455 7425 22275 1052939 3158817 5264695 9476451 11582329 15794085 26323475 28429353 34746987 47382255 57911645 78970425 85288059 104240961 142146765 173734935 236911275 289558225 312722883 426440295 521204805 710733825 868674675 938168649 1563614415 2132201475 2606024025 4690843245 7818072075 23454216225