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231213000 = 23353372083
BaseRepresentation
bin11011100100000…
…00011111001000
3121010001211121110
431302000133020
5433142304000
634535410320
75505164244
oct1562003710
9533054543
10231213000
11109571827
12655239a0
1338b95435
14229c9424
1515472850
hexdc807c8

231213000 has 128 divisors (see below), whose sum is σ = 741237120. Its totient is φ = 59961600.

The previous prime is 231212987. The next prime is 231213007. The reversal of 231213000 is 312132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (231213007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109959 + ... + 112041.

It is an arithmetic number, because the mean of its divisors is an integer number (5790915).

Almost surely, 2231213000 is an apocalyptic number.

231213000 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 231213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370618560).

231213000 is an abundant number, since it is smaller than the sum of its proper divisors (510024120).

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

231213000 is a wasteful number, since it uses less digits than its factorization.

231213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 231213000 is about 15205.6897245735. The cubic root of 231213000 is about 613.7677753226.

Adding to 231213000 its reverse (312132), we get a palindrome (231525132).

The spelling of 231213000 in words is "two hundred thirty-one million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2083 2220 2775 3000 3700 4166 4440 4625 5550 6249 7400 8332 9250 10415 11100 12498 13875 16664 18500 20830 22200 24996 27750 31245 37000 41660 49992 52075 55500 62490 77071 83320 104150 111000 124980 154142 156225 208300 231213 249960 260375 308284 312450 385355 416600 462426 520750 616568 624900 770710 781125 924852 1041500 1156065 1249800 1541420 1562250 1849704 1926775 2083000 2312130 3082840 3124500 3853550 4624260 5780325 6249000 7707100 9248520 9633875 11560650 15414200 19267750 23121300 28901625 38535500 46242600 57803250 77071000 115606500 231213000