Search a number
-
+
235052233840 = 24510129090623
BaseRepresentation
bin1101101011101000110…
…1000111010001110000
3211110201012020122210101
43122322031013101300
512322341332440330
6255552001042144
722660546010404
oct3327215072160
9743635218711
10235052233840
11907599492a6
123967a626354
131921c300c48
14b53b507104
1561aa8c14ca
hex36ba347470

235052233840 has 40 divisors (see below), whose sum is σ = 551907318528. Its totient is φ = 93089990400.

The previous prime is 235052233837. The next prime is 235052233841. The reversal of 235052233840 is 48332250532.

235052233840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2350522338402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 235052233840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235052233841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14537232 + ... + 14553391.

Almost surely, 2235052233840 is an apocalyptic number.

235052233840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235052233840 is an abundant number, since it is smaller than the sum of its proper divisors (316855084688).

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

235052233840 is a wasteful number, since it uses less digits than its factorization.

235052233840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29090737 (or 29090731 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 235052233840 in words is "two hundred thirty-five billion, fifty-two million, two hundred thirty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 29090623 58181246 116362492 145453115 232724984 290906230 465449968 581812460 1163624920 2327249840 2938152923 5876305846 11752611692 14690764615 23505223384 29381529230 47010446768 58763058460 117526116920 235052233840