Search a number
-
+
232403320211220 = 223251291129556729
BaseRepresentation
bin110100110101111010011101…
…010110001000011100010100
31010110212112120222022020120100
4310311322131112020130110
5220430143444433224340
62142140340021334100
766644404632524154
oct6465723526103424
91113775528266510
10232403320211220
11680617705763a4
12220953a1867330
139c8a70140b442
144156548980764
151bd0524e85830
hexd35e9d588714

232403320211220 has 36 divisors (see below), whose sum is σ = 704956737974580. Its totient is φ = 61974218722944.

The previous prime is 232403320211207. The next prime is 232403320211303. The reversal of 232403320211220 is 22112023304232.

232403320211220 is a `hidden beast` number, since 2 + 3 + 2 + 403 + 3 + 20 + 2 + 11 + 220 = 666.

232403320211220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42572571354756 + 189830748856464 = 6524766^2 + 13777908^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2324033202112202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645564778185 + ... + 645564778544.

It is an arithmetic number, because the mean of its divisors is an integer number (19582131610405).

Almost surely, 2232403320211220 is an apocalyptic number.

232403320211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232403320211220 is an abundant number, since it is smaller than the sum of its proper divisors (472553417763360).

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

232403320211220 is a wasteful number, since it uses less digits than its factorization.

232403320211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291129556744 (or 1291129556739 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 232403320211220 its reverse (22112023304232), we get a palindrome (254515343515452).

The spelling of 232403320211220 in words is "two hundred thirty-two trillion, four hundred three billion, three hundred twenty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1291129556729 2582259113458 3873388670187 5164518226916 6455647783645 7746777340374 11620166010561 12911295567290 15493554680748 19366943350935 23240332021122 25822591134580 38733886701870 46480664042244 58100830052805 77467773403740 116201660105610 232403320211220