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223131020 = 22574138873
BaseRepresentation
bin11010100110010…
…11010110001100
3120112212020012212
431103023112030
5424110143040
634050245552
75346403520
oct1523132614
9515766185
10223131020
11104a51702
12628868b8
13372c58b8
14218c3d80
15148c7d65
hexd4cb58c

223131020 has 48 divisors (see below), whose sum is σ = 548589888. Its totient is φ = 74634240.

The previous prime is 223131019. The next prime is 223131037. The reversal of 223131020 is 20131322.

It is a happy number.

223131020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231310203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 223130986 and 223131004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13697 + ... + 25176.

It is an arithmetic number, because the mean of its divisors is an integer number (11428956).

Almost surely, 2223131020 is an apocalyptic number.

223131020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223131020 is an abundant number, since it is smaller than the sum of its proper divisors (325458868).

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

223131020 is a wasteful number, since it uses less digits than its factorization.

223131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38930 (or 38928 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 223131020 is about 14937.5707529705. The cubic root of 223131020 is about 606.5314388179.

Adding to 223131020 its reverse (20131322), we get a palindrome (243262342).

The spelling of 223131020 in words is "two hundred twenty-three million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740 38873 77746 155492 194365 272111 388730 544222 777460 1088444 1360555 1593793 2721110 3187586 5442220 6375172 7968965 11156551 15937930 22313102 31875860 44626204 55782755 111565510 223131020