Search a number
-
+
231221720 = 23561193491
BaseRepresentation
bin11011100100000…
…10100111011000
3121010002021120102
431302002213120
5433143043340
634535514532
75505231542
oct1562024730
9533067512
10231221720
11109578334
1265528a48
1338b993b2
14229cc692
1515475215
hexdc829d8

231221720 has 64 divisors (see below), whose sum is σ = 532599840. Its totient is φ = 90316800.

The previous prime is 231221719. The next prime is 231221723. The reversal of 231221720 is 27122132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 231221692 and 231221701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231221723) 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 15 ways as a sum of consecutive naturals, for example, 470675 + ... + 471165.

Almost surely, 2231221720 is an apocalyptic number.

231221720 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 231221720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266299920).

231221720 is an abundant number, since it is smaller than the sum of its proper divisors (301378120).

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

231221720 is a wasteful number, since it uses less digits than its factorization.

231221720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 231221720 is about 15205.9764566436. The cubic root of 231221720 is about 613.7754911341.

Adding to 231221720 its reverse (27122132), we get a palindrome (258343852).

It can be divided in two parts, 23122 and 1720, that added together give a palindrome (24842).

The spelling of 231221720 in words is "two hundred thirty-one million, two hundred twenty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 193 244 305 386 488 491 610 772 965 982 1220 1544 1930 1964 2440 2455 3860 3928 4910 7720 9820 11773 19640 23546 29951 47092 58865 59902 94184 94763 117730 119804 149755 189526 235460 239608 299510 379052 470920 473815 599020 758104 947630 1198040 1895260 3790520 5780543 11561086 23122172 28902715 46244344 57805430 115610860 231221720