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233230211000 = 2353421553991
BaseRepresentation
bin1101100100110110011…
…0101001011110111000
3211022000012210022022222
43121031212221132320
512310123413223000
6255051112503212
722564443040433
oct3311546513670
9738005708288
10233230211000
118aa044125a6
12392503aab08
1318cbb99cb17
14b40753a81a
156100967a85
hex364d9a97b8

233230211000 has 64 divisors (see below), whose sum is σ = 547056020160. Its totient is φ = 93070320000.

The previous prime is 233230210951. The next prime is 233230211051. The reversal of 233230211000 is 112032332.

It is a self number, because there is not a number n which added to its sum of digits gives 233230211000.

It is a congruent number.

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, 144005 + ... + 697995.

It is an arithmetic number, because the mean of its divisors is an integer number (8547750315).

Almost surely, 2233230211000 is an apocalyptic number.

233230211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233230211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273528010080).

233230211000 is an abundant number, since it is smaller than the sum of its proper divisors (313825809160).

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

233230211000 is a wasteful number, since it uses less digits than its factorization.

233230211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554433 (or 554419 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 233230211000 its reverse (112032332), we get a palindrome (233342243332).

The spelling of 233230211000 in words is "two hundred thirty-three billion, two hundred thirty million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 421 500 842 1000 1684 2105 3368 4210 8420 10525 16840 21050 42100 52625 84200 105250 210500 421000 553991 1107982 2215964 2769955 4431928 5539910 11079820 13849775 22159640 27699550 55399100 69248875 110798200 138497750 233230211 276995500 466460422 553991000 932920844 1166151055 1865841688 2332302110 4664604220 5830755275 9329208440 11661510550 23323021100 29153776375 46646042200 58307552750 116615105500 233230211000