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230332142233395 = 32537738573221047
BaseRepresentation
bin110100010111110001100001…
…100001001010011100110011
31010012112112112000112110221100
4310113301201201022130303
5220142230211402432040
62133513043025255443
766341643130301556
oct6427614141123463
91105475460473840
10230332142233395
11674333495a9354
12219bbab4494583
139b6a2c6678c37
1440c41c6c7c69d
151b9670325bb30
hexd17c6184a733

230332142233395 has 96 divisors (see below), whose sum is σ = 415699965113472. Its totient is φ = 117872111056896.

The previous prime is 230332142233381. The next prime is 230332142233399. The reversal of 230332142233395 is 593332241233032.

It is a happy number.

230332142233395 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 3 + 21 + 4 + 2 + 233 + 395 = 666.

It is not a de Polignac number, because 230332142233395 - 210 = 230332142232371 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 230332142233395.

It is not an unprimeable number, because it can be changed into a prime (230332142233399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1041894762 + ... + 1042115808.

It is an arithmetic number, because the mean of its divisors is an integer number (4330207969932).

Almost surely, 2230332142233395 is an apocalyptic number.

230332142233395 is a deficient number, since it is larger than the sum of its proper divisors (185367822880077).

230332142233395 is a wasteful number, since it uses less digits than its factorization.

230332142233395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229741 (or 229738 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 45.

The spelling of 230332142233395 in words is "two hundred thirty trillion, three hundred thirty-two billion, one hundred forty-two million, two hundred thirty-three thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 37 45 73 111 185 219 333 365 555 657 1095 1665 2701 3285 8103 8573 13505 24309 25719 40515 42865 77157 121545 128595 221047 317201 385785 625829 663141 951603 1105235 1586005 1877487 1989423 2854809 3129145 3315705 4758015 5632461 8178739 9387435 9947115 14274045 16136431 23155673 24536217 28162305 40893695 48409293 69467019 73608651 80682155 115778365 122681085 145227879 208401057 242046465 347335095 368043255 597047947 726139395 1042005285 1791143841 1895035931 2985239735 5373431523 5685107793 8955719205 9475179655 17055323379 26867157615 28425538965 70116329447 85276616895 138337622963 210348988341 350581647235 415012868889 631046965023 691688114815 1051744941705 1245038606667 2075064344445 3155234825115 5118492049631 6225193033335 15355476148893 25592460248155 46066428446679 76777380744465 230332142233395