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233412404214332 = 227131217132930723
BaseRepresentation
bin110101000100100110001111…
…011100000111101000111100
31010121110000012202212211200002
4311010212033130013220330
5221043212100434324312
62144232102253453432
7100110326653162250
oct6504461734075074
91117400182784602
10233412404214332
1168410710148282
1222218a79aa1278
13a031906689745
14418d313628260
151beb8d3e6d4c2
hexd4498f707a3c

233412404214332 has 48 divisors (see below), whose sum is σ = 470410180998912. Its totient is φ = 99265664259840.

The previous prime is 233412404214287. The next prime is 233412404214391.

233412404214332 is nontrivially palindromic in base 10.

233412404214332 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 2×2334124042143322 (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 15 ways as a sum of consecutive naturals, for example, 78177923 + ... + 81108645.

It is an arithmetic number, because the mean of its divisors is an integer number (9800212104144).

Almost surely, 2233412404214332 is an apocalyptic number.

It is an amenable number.

233412404214332 is an abundant number, since it is smaller than the sum of its proper divisors (236997776784580).

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

233412404214332 is a wasteful number, since it uses less digits than its factorization.

233412404214332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952578 (or 2952576 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 23341240 and 4214332, that added together give a palindrome (27555572).

The spelling of 233412404214332 in words is "two hundred thirty-three trillion, four hundred twelve billion, four hundred four million, two hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 131 262 524 917 1834 3668 21713 43426 86852 151991 303982 607964 2844403 2930723 5688806 5861446 11377612 11722892 19910821 20515061 39821642 41030122 79643284 82060244 383924713 767849426 1535698852 2687472991 5374945982 10749891964 63634788499 127269576998 254539153996 445443519493 890887038986 1781774077972 8336157293369 16672314586738 33344629173476 58353101053583 116706202107166 233412404214332