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231122320 = 245111389227
BaseRepresentation
bin11011100011010…
…10010110010000
3121002220020012221
431301222112100
5433131403240
634533430424
75504336002
oct1561522620
9532806187
10231122320
1110950a690
126549b414
1338b63090
14229a4372
1515455a4a
hexdc6a590

231122320 has 160 divisors (see below), whose sum is σ = 641208960. Its totient is φ = 76369920.

The previous prime is 231122303. The next prime is 231122323. The reversal of 231122320 is 23221132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 231122294 and 231122303.

It is not an unprimeable number, because it can be changed into a prime (231122323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018047 + ... + 1018273.

It is an arithmetic number, because the mean of its divisors is an integer number (4007556).

Almost surely, 2231122320 is an apocalyptic number.

231122320 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 231122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320604480).

231122320 is an abundant number, since it is smaller than the sum of its proper divisors (410086640).

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

231122320 is a wasteful number, since it uses less digits than its factorization.

231122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 231122320 is about 15202.7076535728. The cubic root of 231122320 is about 613.6875264620.

Adding to 231122320 its reverse (23221132), we get a palindrome (254343452).

The spelling of 231122320 in words is "two hundred thirty-one million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 89 104 110 130 143 176 178 208 220 227 260 286 356 440 445 454 520 572 712 715 880 890 908 979 1040 1135 1144 1157 1424 1430 1780 1816 1958 2270 2288 2314 2497 2860 2951 3560 3632 3916 4540 4628 4895 4994 5720 5785 5902 7120 7832 9080 9256 9790 9988 11440 11570 11804 12485 12727 14755 15664 18160 18512 19580 19976 20203 23140 23608 24970 25454 29510 32461 39160 39952 40406 46280 47216 49940 50908 59020 63635 64922 78320 80812 92560 99880 101015 101816 118040 127270 129844 161624 162305 199760 202030 203632 222233 236080 254540 259688 262639 323248 324610 404060 444466 509080 519376 525278 649220 808120 888932 1018160 1050556 1111165 1298440 1313195 1616240 1777864 2101112 2222330 2596880 2626390 2889029 3555728 4202224 4444660 5252780 5778058 8889320 10505560 11556116 14445145 17778640 21011120 23112232 28890290 46224464 57780580 115561160 231122320