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231399936 = 293319881
BaseRepresentation
bin11011100101011…
…10001000000000
3121010102100001000
431302232020000
5433214244221
634543412000
75506603245
oct1562561000
9533370030
10231399936
1110968a219
12655b4000
1338c2c551
1422a375cc
15154ace26
hexdcae200

231399936 has 160 divisors (see below), whose sum is σ = 721828800. Its totient is φ = 72990720.

The previous prime is 231399929. The next prime is 231399967. The reversal of 231399936 is 639993132.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 231399891 and 231399900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262216 + ... + 263096.

It is an arithmetic number, because the mean of its divisors is an integer number (4511430).

Almost surely, 2231399936 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 231399936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360914400).

231399936 is an abundant number, since it is smaller than the sum of its proper divisors (490428864).

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

231399936 is an equidigital number, since it uses as much as digits as its factorization.

231399936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 905 counting only the distinct ones).

The product of its digits is 236196, while the sum is 45.

The square root of 231399936 is about 15211.8353922201. The cubic root of 231399936 is about 613.9331414360.

Adding to 231399936 its product of digits (236196), we get a palindrome (231636132).

The spelling of 231399936 in words is "two hundred thirty-one million, three hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 608 684 768 864 881 912 1026 1152 1216 1368 1536 1728 1762 1824 2052 2304 2432 2643 2736 3456 3524 3648 4104 4608 4864 5286 5472 6912 7048 7296 7929 8208 9728 10572 10944 13824 14096 14592 15858 16416 16739 21144 21888 23787 28192 29184 31716 32832 33478 42288 43776 47574 50217 56384 63432 65664 66956 84576 87552 95148 100434 112768 126864 131328 133912 150651 169152 190296 200868 225536 253728 262656 267824 301302 338304 380592 401736 451072 451953 507456 535648 602604 676608 761184 803472 903906 1014912 1071296 1205208 1353216 1522368 1606944 1807812 2029824 2142592 2410416 3044736 3213888 3615624 4059648 4285184 4820832 6089472 6427776 7231248 8570368 9641664 12178944 12855552 14462496 19283328 25711104 28924992 38566656 57849984 77133312 115699968 231399936