Search a number
-
+
233057673222450 = 23524733057825989
BaseRepresentation
bin110100111111011011110111…
…110100110001100100110010
31010120012002120221221100111120
4310333123313310301210302
5221021404103321104300
62143401114513323110
7100042601255406606
oct6477336764614462
91116162527840446
10233057673222450
116829422780778a
122218017b266496
13a0073238c8a4b
14417a0a171b506
151be25718ee3a0
hexd3f6f7d31932

233057673222450 has 48 divisors (see below), whose sum is σ = 590280540877440. Its totient is φ = 60826399817920.

The previous prime is 233057673222449. The next prime is 233057673222527. The reversal of 233057673222450 is 54222376750332.

It is a junction number, because it is equal to n+sod(n) for n = 233057673222393 and 233057673222402.

It is an unprimeable number.

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, 16528905945 + ... + 16528920044.

It is an arithmetic number, because the mean of its divisors is an integer number (12297511268280).

Almost surely, 2233057673222450 is an apocalyptic number.

233057673222450 is an abundant number, since it is smaller than the sum of its proper divisors (357222867654990).

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

233057673222450 is a wasteful number, since it uses less digits than its factorization.

233057673222450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33057826051 (or 33057826046 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 51.

The spelling of 233057673222450 in words is "two hundred thirty-three trillion, fifty-seven billion, six hundred seventy-three million, two hundred twenty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1175 1410 2350 3525 7050 33057825989 66115651978 99173477967 165289129945 198346955934 330578259890 495867389835 826445649725 991734779670 1553717821483 1652891299450 2479336949175 3107435642966 4661153464449 4958673898350 7768589107415 9322306928898 15537178214830 23305767322245 38842945537075 46611534644490 77685891074150 116528836611225 233057673222450