Search a number
-
+
12223020 = 22351012017
BaseRepresentation
bin101110101000…
…001000101100
3211222222211110
4232220020230
511112114040
61113552020
7205615425
oct56501054
924888743
1012223020
116999377
124115610
1326bc674
1418a264c
151116980
hexba822c

12223020 has 48 divisors (see below), whose sum is σ = 34580448. Its totient is φ = 3225600.

The previous prime is 12223009. The next prime is 12223031. The reversal of 12223020 is 2032221.

12223020 = 3762 + 3772 + ... + 4472.

It is an interprime number because it is at equal distance from previous prime (12223009) and next prime (12223031).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12222987 and 12223005.

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, 5052 + ... + 7068.

It is an arithmetic number, because the mean of its divisors is an integer number (720426).

Almost surely, 212223020 is an apocalyptic number.

12223020 is a gapful number since it is divisible by the number (10) 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 12223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17290224).

12223020 is an abundant number, since it is smaller than the sum of its proper divisors (22357428).

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

12223020 is a wasteful number, since it uses less digits than its factorization.

12223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12223020 is about 3496.1435897285. The cubic root of 12223020 is about 230.3524526932.

Adding to 12223020 its reverse (2032221), we get a palindrome (14255241).

The spelling of 12223020 in words is "twelve million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2017 2020 3030 4034 6051 6060 8068 10085 12102 20170 24204 30255 40340 60510 121020 203717 407434 611151 814868 1018585 1222302 2037170 2444604 3055755 4074340 6111510 12223020