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23244310120 = 23517193177113
BaseRepresentation
bin10101101001011110…
…000000011001101000
32012222221021022001211
4111221132000121220
5340101020410440
614402302122504
71452005242663
oct255136003150
965887238054
1023244310120
119948897259
124608580434
13226588ba75
1411a71266da
159109bceea
hex569780668

23244310120 has 64 divisors (see below), whose sum is σ = 55663387920. Its totient is φ = 8705409024.

The previous prime is 23244310097. The next prime is 23244310121. The reversal of 23244310120 is 2101344232.

It can be written as a sum of positive squares in 8 ways, for example, as 10147338756 + 13096971364 = 100734^2 + 114442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23244310091 and 23244310100.

It is not an unprimeable number, because it can be changed into a prime (23244310121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42684 + ... + 219796.

Almost surely, 223244310120 is an apocalyptic number.

23244310120 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 23244310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27831693960).

23244310120 is an abundant number, since it is smaller than the sum of its proper divisors (32419077800).

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

23244310120 is a wasteful number, since it uses less digits than its factorization.

23244310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177334 (or 177330 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 23244310120 its reverse (2101344232), we get a palindrome (25345654352).

The spelling of 23244310120 in words is "twenty-three billion, two hundred forty-four million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 193 340 386 680 772 965 1544 1930 3281 3860 6562 7720 13124 16405 26248 32810 65620 131240 177113 354226 708452 885565 1416904 1771130 3010921 3542260 6021842 7084520 12043684 15054605 24087368 30109210 34182809 60218420 68365618 120436840 136731236 170914045 273462472 341828090 581107753 683656180 1162215506 1367312360 2324431012 2905538765 4648862024 5811077530 11622155060 23244310120