Search a number
-
+
232022211113310 = 23537997209657993
BaseRepresentation
bin110100110000010111100001…
…011110010011000101011110
31010102112002212211022010111220
4310300113201132103011132
5220402422442021111220
62141245310550554210
766605023454612352
oct6460274136230536
91112462784263456
10232022211113310
1167a25081404382
1222033561068966
139c607a675cc97
144141d13677462
151bc566bc76540
hexd305e179315e

232022211113310 has 64 divisors (see below), whose sum is σ = 572477023040832. Its totient is φ = 60139975689216.

The previous prime is 232022211113227. The next prime is 232022211113359. The reversal of 232022211113310 is 13311112220232.

232022211113310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2320222111133102 (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 31 ways as a sum of consecutive naturals, for example, 103722327 + ... + 105935666.

It is an arithmetic number, because the mean of its divisors is an integer number (8944953485013).

Almost surely, 2232022211113310 is an apocalyptic number.

232022211113310 is an abundant number, since it is smaller than the sum of its proper divisors (340454811927522).

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

232022211113310 is a wasteful number, since it uses less digits than its factorization.

232022211113310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209659037.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 232022211113310 its reverse (13311112220232), we get a palindrome (245333323333542).

The spelling of 232022211113310 in words is "two hundred thirty-two trillion, twenty-two billion, two hundred eleven million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 997 1110 1994 2991 4985 5982 9970 14955 29910 36889 73778 110667 184445 221334 368890 553335 1106670 209657993 419315986 628973979 1048289965 1257947958 2096579930 3144869895 6289739790 7757345741 15514691482 23272037223 38786728705 46544074446 77573457410 116360186115 209029019021 232720372230 418058038042 627087057063 1045145095105 1254174114126 2090290190210 3135435285315 6270870570630 7734073703777 15468147407554 23202221111331 38670368518885 46404442222662 77340737037770 116011105556655 232022211113310