Search a number
-
+
232203010232214 = 23371813393887723
BaseRepresentation
bin110100110010111111111001…
…111100001100111110010110
31010110011101120000201222211000
4310302333321330030332112
5220413403231104412324
62141504331255324130
766624054026016240
oct6462777174147626
91113141500658730
10232203010232214
1167a9481a8353aa
12220625ba380646
139c7485ab09348
14414a98564d090
151bca1ee6d09c9
hexd32ff9f0cf96

232203010232214 has 64 divisors (see below), whose sum is σ = 592980063137280. Its totient is φ = 65977177315680.

The previous prime is 232203010232177. The next prime is 232203010232233. The reversal of 232203010232214 is 412232010302232.

232203010232214 is a `hidden beast` number, since 2 + 3 + 2 + 20 + 301 + 0 + 2 + 322 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1696875444 + ... + 1697012279.

It is an arithmetic number, because the mean of its divisors is an integer number (9265313486520).

Almost surely, 2232203010232214 is an apocalyptic number.

232203010232214 is an abundant number, since it is smaller than the sum of its proper divisors (360777052905066).

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

232203010232214 is a wasteful number, since it uses less digits than its factorization.

232203010232214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393887922 (or 3393887916 counting only the distinct ones).

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

Adding to 232203010232214 its reverse (412232010302232), we get a palindrome (644435020534446).

The spelling of 232203010232214 in words is "two hundred thirty-two trillion, two hundred three billion, ten million, two hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 181 189 362 378 543 1086 1267 1629 2534 3258 3801 4887 7602 9774 11403 22806 34209 68418 3393887723 6787775446 10181663169 20363326338 23757214061 30544989507 47514428122 61089979014 71271642183 91634968521 142543284366 183269937042 213814926549 427629853098 614293677863 641444779647 1228587355726 1282889559294 1842881033589 3685762067178 4300055745041 5528643100767 8600111490082 11057286201534 12900167235123 16585929302301 25800334470246 33171858604602 38700501705369 77401003410738 116101505116107 232203010232214