Search a number
-
+
232252522301025 = 32523734578070061
BaseRepresentation
bin110100110011101110000001…
…000101110000011001100001
31010110100010100121102200200100
4310303232001011300121201
5220420211131202113100
62141543200311013013
766630456004452132
oct6463560105603141
91113303317380610
10232252522301025
1168003818034536
122207011796a169
139c7941b75b395
14414d121249c89
151bcb64b2e3400
hexd33b81170661

232252522301025 has 72 divisors (see below), whose sum is σ = 427356686100344. Its totient is φ = 120485350195200.

The previous prime is 232252522301011. The next prime is 232252522301053. The reversal of 232252522301025 is 520103225252232.

232252522301025 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 525 + 2 + 23 + 0 + 102 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 100575244895841 + 131677277405184 = 10028721^2 + 11475072^2 .

It is not a de Polignac number, because 232252522301025 - 26 = 232252522300961 is a prime.

It is a super-2 number, since 2×2322525223010252 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24744495 + ... + 32814555.

Almost surely, 2232252522301025 is an apocalyptic number.

232252522301025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232252522301025 is a deficient number, since it is larger than the sum of its proper divisors (195104163799319).

232252522301025 is a wasteful number, since it uses less digits than its factorization.

232252522301025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8073571 (or 8073563 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 232252522301025 its reverse (520103225252232), we get a palindrome (752355747553257).

The spelling of 232252522301025 in words is "two hundred thirty-two trillion, two hundred fifty-two billion, five hundred twenty-two million, three hundred one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 185 225 333 555 925 1665 2775 3457 8325 10371 17285 31113 51855 86425 127909 155565 259275 383727 639545 777825 1151181 1918635 3197725 5755905 8070061 9593175 24210183 28779525 40350305 72630549 121050915 201751525 298592257 363152745 605254575 895776771 1492961285 1815763725 2687330313 4478883855 7464806425 13436651565 22394419275 27898200877 67183257825 83694602631 139491004385 251083807893 418473013155 697455021925 1032233432449 1255419039465 2092365065775 3096700297347 5161167162245 6277095197325 9290100892041 15483501486735 25805835811225 46450504460205 77417507433675 232252522301025