Search a number
-
+
230232212311122 = 23372151576234557
BaseRepresentation
bin110100010110010100011101…
…001110110000110001010010
31010012011222120201202110021000
4310112110131032300301102
5220134111032322423442
62133355115044242430
766331504564052400
oct6426243516606122
91105158521673230
10230232212311122
11673a4a2978772a
12219a46660a0416
139b60a5c534508
1440bd427260470
151b93d05265d4c
hexd1651d3b0c52

230232212311122 has 96 divisors (see below), whose sum is σ = 599099545261440. Its totient is φ = 65344998650400.

The previous prime is 230232212311103. The next prime is 230232212311141. The reversal of 230232212311122 is 221113212232032.

230232212311122 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 3 + 221 + 2 + 311 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (230232212311103) and next prime (230232212311141).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287717733 + ... + 288516824.

It is an arithmetic number, because the mean of its divisors is an integer number (6240620263140).

Almost surely, 2230232212311122 is an apocalyptic number.

230232212311122 is an abundant number, since it is smaller than the sum of its proper divisors (368867332950318).

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

230232212311122 is a wasteful number, since it uses less digits than its factorization.

230232212311122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576234733 (or 576234720 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 230232212311122 its reverse (221113212232032), we get a palindrome (451345424543154).

The spelling of 230232212311122 in words is "two hundred thirty trillion, two hundred thirty-two billion, two hundred twelve million, three hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 151 189 294 302 378 441 453 882 906 1057 1323 1359 2114 2646 2718 3171 4077 6342 7399 8154 9513 14798 19026 22197 28539 44394 57078 66591 133182 199773 399546 576234557 1152469114 1728703671 3457407342 4033641899 5186111013 8067283798 10372222026 12100925697 15558333039 24201851394 28235493293 31116666078 36302777091 56470986586 72605554182 84706479879 87011418107 108908331273 169412959758 174022836214 217816662546 254119439637 261034254321 508238879274 522068508642 609079926749 762358318911 783102762963 1218159853498 1524716637822 1566205525926 1827239780247 2349308288889 3654479560494 4263559487243 4698616577778 5481719340741 8527118974486 10963438681482 12790678461729 16445158022223 25581356923458 32890316044446 38372035385187 76744070770374 115116106155561 230232212311122