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22125312 = 28341197
BaseRepresentation
bin101010001100…
…1101100000000
31112122002020000
41110121230000
521131002222
62110120000
7356030166
oct124315400
945562200
1022125312
1111542090
1274b0000
134778901
142d1d236
151e209ac
hex1519b00

22125312 has 180 divisors, whose sum is σ = 72713256. Its totient is φ = 6635520.

The previous prime is 22125283. The next prime is 22125317. The reversal of 22125312 is 21352122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22125317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 228048 + ... + 228144.

Almost surely, 222125312 is an apocalyptic number.

22125312 is a gapful number since it is divisible by the number (22) 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 22125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36356628).

22125312 is an abundant number, since it is smaller than the sum of its proper divisors (50587944).

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

22125312 is an equidigital number, since it uses as much as digits as its factorization.

22125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 22125312 is about 4703.7550956656. The cubic root of 22125312 is about 280.7349400005.

Adding to 22125312 its reverse (21352122), we get a palindrome (43477434).

The spelling of 22125312 in words is "twenty-two million, one hundred twenty-five thousand, three hundred twelve".