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231545434430200 = 235211256609410149
BaseRepresentation
bin110100101001011011011111…
…010111100101101011111000
31010100211112020102212011001011
4310221123133113211223320
5220322120022203231300
62140242300520003304
766525414500642152
oct6451333727455370
91110745212764034
10231545434430200
116786095a3a4660
1221b77081600534
139c27843a30747
144126c04873ad2
151bb8064d65eba
hexd296df5e5af8

231545434430200 has 96 divisors (see below), whose sum is σ = 587287140570000. Its totient is φ = 84197806387200.

The previous prime is 231545434430183. The next prime is 231545434430203. The reversal of 231545434430200 is 2034434545132.

It is a super-2 number, since 2×2315454344302002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231545434430203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564334726 + ... + 564744874.

Almost surely, 2231545434430200 is an apocalyptic number.

231545434430200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231545434430200 is an abundant number, since it is smaller than the sum of its proper divisors (355741706139800).

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

231545434430200 is a wasteful number, since it uses less digits than its factorization.

231545434430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666785 (or 666776 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 231545434430200 its reverse (2034434545132), we get a palindrome (233579868975332).

The spelling of 231545434430200 in words is "two hundred thirty-one trillion, five hundred forty-five billion, four hundred thirty-four million, four hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 256609 410149 513218 820298 1026436 1283045 1640596 2050745 2052872 2566090 2822699 3281192 4101490 4511639 5132180 5645398 6415225 8202980 9023278 10253725 10264360 11290796 12830450 14113495 16405960 18046556 20507450 22558195 22581592 25660900 28226990 36093112 41014900 45116390 51321800 56453980 70567475 82029800 90232780 112790975 112907960 141134950 180465560 225581950 282269900 451163900 564539800 902327800 105247924741 210495849482 420991698964 526239623705 841983397928 1052479247410 1157727172151 2104958494820 2315454344302 2631198118525 4209916989640 4630908688604 5262396237050 5788635860755 9261817377208 10524792474100 11577271721510 21049584948200 23154543443020 28943179303775 46309086886040 57886358607550 115772717215100 231545434430200