Search a number
-
+
233023203011000 = 23531571484224223
BaseRepresentation
bin110100111110111011110001…
…001111010110100110111000
31010120001210121200011011211102
4310332323301033112212320
5221020323004432323000
62143333214233150532
7100040241125425403
oct6476736117264670
91116053550134742
10233023203011000
1168280649219726
122217555b25b448
13a003cbc389b1c
14417855171cd3a
151be170561d3d5
hexd3eef13d69b8

233023203011000 has 64 divisors (see below), whose sum is σ = 548747380097280. Its totient is φ = 92615591452800.

The previous prime is 233023203010999. The next prime is 233023203011003. The reversal of 233023203011000 is 110302320332.

It is a super-2 number, since 2×2330232030110002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233023203011003) 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 15 ways as a sum of consecutive naturals, for example, 741955112 + ... + 742269111.

It is an arithmetic number, because the mean of its divisors is an integer number (8574177814020).

Almost surely, 2233023203011000 is an apocalyptic number.

233023203011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233023203011000 is an abundant number, since it is smaller than the sum of its proper divisors (315724177086280).

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

233023203011000 is a wasteful number, since it uses less digits than its factorization.

233023203011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484224401 (or 1484224387 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 233023203011000 its reverse (110302320332), we get a palindrome (233133505331332).

The spelling of 233023203011000 in words is "two hundred thirty-three trillion, twenty-three billion, two hundred three million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 157 200 250 314 500 628 785 1000 1256 1570 3140 3925 6280 7850 15700 19625 31400 39250 78500 157000 1484224223 2968448446 5936896892 7421121115 11873793784 14842242230 29684484460 37105605575 59368968920 74211211150 148422422300 185528027875 233023203011 296844844600 371056055750 466046406022 742112111500 932092812044 1165116015055 1484224223000 1864185624088 2330232030110 4660464060220 5825580075275 9320928120440 11651160150550 23302320301100 29127900376375 46604640602200 58255800752750 116511601505500 233023203011000