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22123343125 = 541317160169
BaseRepresentation
bin10100100110101001…
…110110110100010101
32010002210222021102201
4110212221312310111
5330302033440000
614055140004501
71412144212432
oct244651666425
963083867381
1022123343125
119423061154
124355090731
1321175797a0
1410dc2cab89
1589739496a
hex526a76d15

22123343125 has 40 divisors (see below), whose sum is σ = 31523378040. Its totient is φ = 15376128000.

The previous prime is 22123343089. The next prime is 22123343131. The reversal of 22123343125 is 52134332122.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 18419646961 + 3703696164 = 135719^2 + 60858^2 .

It is not a de Polignac number, because 22123343125 - 211 = 22123341077 is a prime.

It is a super-2 number, since 2×221233431252 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22123343093 and 22123343102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58041 + ... + 218209.

It is an arithmetic number, because the mean of its divisors is an integer number (788084451).

Almost surely, 222123343125 is an apocalyptic number.

22123343125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22123343125 is a deficient number, since it is larger than the sum of its proper divisors (9400034915).

22123343125 is a wasteful number, since it uses less digits than its factorization.

22123343125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160219 (or 160204 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

Adding to 22123343125 its reverse (52134332122), we get a palindrome (74257675247).

It can be divided in two parts, 221 and 23343125, that multiplied together give a square (5158830625 = 718252).

The spelling of 22123343125 in words is "twenty-two billion, one hundred twenty-three million, three hundred forty-three thousand, one hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 125 221 325 425 625 1105 1625 2125 5525 8125 10625 27625 138125 160169 800845 2082197 2722873 4004225 10410985 13614365 20021125 35397349 52054925 68071825 100105625 176986745 260274625 340359125 884933725 1301373125 1701795625 4424668625 22123343125