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233242181242332 = 223131148372888831
BaseRepresentation
bin110101000010000111101101…
…010111000000110111011100
31010120211201211122022220110120
4311002013231113000313130
5221032414441344223312
62144021551232434540
7100062122453612043
oct6502075527006734
91116751748286416
10233242181242332
11683554a9777a29
12221aba926a8a50
13a01b849494282
144184da610d55a
151be726ec7c28c
hexd421ed5c0ddc

233242181242332 has 24 divisors (see below), whose sum is σ = 548386197123072. Its totient is φ = 77153902191600.

The previous prime is 233242181242327. The next prime is 233242181242361.

233242181242332 is nontrivially palindromic in base 10.

233242181242332 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 2×2332421812423322 (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 7 ways as a sum of consecutive naturals, for example, 74186442844 + ... + 74186445987.

It is an arithmetic number, because the mean of its divisors is an integer number (22849424880128).

Almost surely, 2233242181242332 is an apocalyptic number.

It is an amenable number.

233242181242332 is an abundant number, since it is smaller than the sum of its proper divisors (315144015880740).

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

233242181242332 is a wasteful number, since it uses less digits than its factorization.

233242181242332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148372888969 (or 148372888967 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

The spelling of 233242181242332 in words is "two hundred thirty-three trillion, two hundred forty-two billion, one hundred eighty-one million, two hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 131 262 393 524 786 1572 148372888831 296745777662 445118666493 593491555324 890237332986 1780474665972 19436848436861 38873696873722 58310545310583 77747393747444 116621090621166 233242181242332