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232202121125540 = 22538975913393161
BaseRepresentation
bin110100110010111111000100…
…111100100001111010100100
31010110011022021001201200202012
4310302333010330201322210
5220413344421002004130
62141504103134533352
766624023011520426
oct6462770474417244
91113138231650665
10232202121125540
1167a944039733a5
12220623b0667258
139c74748858017
14414a8dd52a816
151bca19b606995
hexd32fc4f21ea4

232202121125540 has 48 divisors (see below), whose sum is σ = 488885671113840. Its totient is φ = 92640624199680.

The previous prime is 232202121125479. The next prime is 232202121125561. The reversal of 232202121125540 is 45521121202232.

It can be written as a sum of positive squares in 8 ways, for example, as 6330739081216 + 225871382044324 = 2516096^2 + 15029018^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232202121125497 and 232202121125506.

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, 590406560 + ... + 590799720.

It is an arithmetic number, because the mean of its divisors is an integer number (10185118148205).

Almost surely, 2232202121125540 is an apocalyptic number.

232202121125540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232202121125540 is an abundant number, since it is smaller than the sum of its proper divisors (256683549988300).

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

232202121125540 is a wasteful number, since it uses less digits than its factorization.

232202121125540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469472 (or 469470 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 232202121125540 its reverse (45521121202232), we get a palindrome (277723242327772).

The spelling of 232202121125540 in words is "two hundred thirty-two trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 389 778 1556 1945 3890 7780 75913 151826 303652 379565 393161 759130 786322 1518260 1572644 1965805 3931610 7863220 29530157 59060314 118120628 147650785 152939629 295301570 305879258 590603140 611758516 764698145 1529396290 3058792580 29846030993 59692061986 119384123972 149230154965 298460309930 596920619860 11610106056277 23220212112554 46440424225108 58050530281385 116101060562770 232202121125540