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231214032 = 24327239973
BaseRepresentation
bin11011100100000…
…00101111010000
3121010001220000200
431302000233100
5433142322112
634535415200
75505200250
oct1562005720
9533056020
10231214032
11109572585
1265524500
1338b95a4a
14229c9960
1515472cdc
hexdc80bd0

231214032 has 120 divisors (see below), whose sum is σ = 771748224. Its totient is φ = 63182592.

The previous prime is 231214019. The next prime is 231214043. The reversal of 231214032 is 230412132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231213996 and 231214014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18198 + ... + 28170.

Almost surely, 2231214032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385874112).

231214032 is an abundant number, since it is smaller than the sum of its proper divisors (540534192).

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

231214032 is a wasteful number, since it uses less digits than its factorization.

231214032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10017 (or 10008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 231214032 is about 15205.7236592015. The cubic root of 231214032 is about 613.7686884884.

Adding to 231214032 its reverse (230412132), we get a palindrome (461626164).

The spelling of 231214032 in words is "two hundred thirty-one million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 9973 11592 19946 23184 29919 39892 59838 69811 79784 89757 119676 139622 159568 179514 209433 229379 239352 279244 359028 418866 458758 478704 558488 628299 688137 718056 837732 917516 1116976 1256598 1376274 1436112 1605653 1675464 1835032 2064411 2513196 2752548 3211306 3350928 3670064 4128822 4816959 5026392 5505096 6422612 8257644 9633918 10052784 11010192 12845224 14450877 16515288 19267836 25690448 28901754 33030576 38535672 57803508 77071344 115607016 231214032