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231122220 = 223572127619
BaseRepresentation
bin11011100011010…
…10010100101100
3121002220020002020
431301222110230
5433131402340
634533430140
75504335500
oct1561522454
9532806066
10231122220
1110950a5aa
126549b350
1338b63014
14229a4300
15154559d0
hexdc6a52c

231122220 has 144 divisors (see below), whose sum is σ = 759951360. Its totient is φ = 52327296.

The previous prime is 231122189. The next prime is 231122273. The reversal of 231122220 is 22221132.

It is a happy number.

231122220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 231122220.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373071 + ... + 373689.

It is an arithmetic number, because the mean of its divisors is an integer number (5277440).

Almost surely, 2231122220 is an apocalyptic number.

231122220 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 231122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379975680).

231122220 is an abundant number, since it is smaller than the sum of its proper divisors (528829140).

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

231122220 is a wasteful number, since it uses less digits than its factorization.

231122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 231122220 is about 15202.7043646846. The cubic root of 231122220 is about 613.6874379536.

Adding to 231122220 its reverse (22221132), we get a palindrome (253343352).

It can be divided in two parts, 2311 and 22220, that added together give a triangular number (24531 = T221).

The spelling of 231122220 in words is "two hundred thirty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 127 140 147 196 210 245 254 294 381 420 490 508 588 619 635 735 762 889 980 1238 1270 1470 1524 1778 1857 1905 2476 2540 2667 2940 3095 3556 3714 3810 4333 4445 5334 6190 6223 7428 7620 8666 8890 9285 10668 12380 12446 12999 13335 17332 17780 18570 18669 21665 24892 25998 26670 30331 31115 37140 37338 43330 51996 53340 60662 62230 64995 74676 78613 86660 90993 93345 121324 124460 129990 151655 157226 181986 186690 235839 259980 303310 314452 363972 373380 393065 454965 471678 550291 606620 786130 909930 943356 1100582 1179195 1572260 1650873 1819860 2201164 2358390 2751455 3301746 3852037 4716780 5502910 6603492 7704074 8254365 11005820 11556111 15408148 16508730 19260185 23112222 33017460 38520370 46224444 57780555 77040740 115561110 231122220