Search a number
-
+
213231223000 = 23531607132689
BaseRepresentation
bin1100011010010110010…
…0100100000011011000
3202101101110011110021201
43012211210210003120
511443144143114000
6241542421043544
721256032330115
oct3064544440330
9671343143251
10213231223000
1182481514944
12353aa8565b4
131715258aa03
14a46b43990c
15582ed4b96a
hex31a59240d8

213231223000 has 64 divisors (see below), whose sum is σ = 499275316800. Its totient is φ = 85238771200.

The previous prime is 213231222947. The next prime is 213231223003. The reversal of 213231223000 is 322132312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213231223003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1540656 + ... + 1673344.

It is an arithmetic number, because the mean of its divisors is an integer number (7801176825).

Almost surely, 2213231223000 is an apocalyptic number.

213231223000 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 213231223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249637658400).

213231223000 is an abundant number, since it is smaller than the sum of its proper divisors (286044093800).

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

213231223000 is a wasteful number, since it uses less digits than its factorization.

213231223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134317 (or 134303 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 213231223000 its reverse (322132312), we get a palindrome (213553355312).

The spelling of 213231223000 in words is "two hundred thirteen billion, two hundred thirty-one million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1607 3214 6428 8035 12856 16070 32140 40175 64280 80350 132689 160700 200875 265378 321400 401750 530756 663445 803500 1061512 1326890 1607000 2653780 3317225 5307560 6634450 13268900 16586125 26537800 33172250 66344500 132689000 213231223 426462446 852924892 1066156115 1705849784 2132312230 4264624460 5330780575 8529248920 10661561150 21323122300 26653902875 42646244600 53307805750 106615611500 213231223000