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22523220 = 22325157797
BaseRepresentation
bin101010111101…
…0110101010100
31120101022001100
41111322311110
521231220340
62122430100
7362305236
oct125726524
946338040
1022523220
1111794035
127662330
134887a65
142dc4256
151e9d830
hex157ad54

22523220 has 72 divisors (see below), whose sum is σ = 68841864. Its totient is φ = 5960448.

The previous prime is 22523219. The next prime is 22523231. The reversal of 22523220 is 2232522.

It can be written as a sum of positive squares in 4 ways, for example, as 956484 + 21566736 = 978^2 + 4644^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 22523193 and 22523202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27862 + ... + 28658.

It is an arithmetic number, because the mean of its divisors is an integer number (956137).

Almost surely, 222523220 is an apocalyptic number.

22523220 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 22523220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34420932).

22523220 is an abundant number, since it is smaller than the sum of its proper divisors (46318644).

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

22523220 is a wasteful number, since it uses less digits than its factorization.

22523220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22523220 is about 4745.8634620056. The cubic root of 22523220 is about 282.4078901941.

Adding to 22523220 its reverse (2232522), we get a palindrome (24755742).

The spelling of 22523220 in words is "twenty-two million, five hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 797 942 1413 1570 1594 1884 2355 2391 2826 3140 3188 3985 4710 4782 5652 7065 7173 7970 9420 9564 11955 14130 14346 15940 23910 28260 28692 35865 47820 71730 125129 143460 250258 375387 500516 625645 750774 1126161 1251290 1501548 1876935 2252322 2502580 3753870 4504644 5630805 7507740 11261610 22523220