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22532420 = 2252953733
BaseRepresentation
bin101010111110…
…1000101000100
31120101202200002
41111331011010
521232014140
62122540432
7362344121
oct125750504
946352602
1022532420
111179aa39
127667718
13488bcc1
142dc7748
151ea1415
hex157d144

22532420 has 48 divisors (see below), whose sum is σ = 49941360. Its totient is φ = 8526336.

The previous prime is 22532417. The next prime is 22532431. The reversal of 22532420 is 2423522.

It can be written as a sum of positive squares in 8 ways, for example, as 3013696 + 19518724 = 1736^2 + 4418^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22532392 and 22532401.

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, 30374 + ... + 31106.

It is an arithmetic number, because the mean of its divisors is an integer number (1040445).

Almost surely, 222532420 is an apocalyptic number.

22532420 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 22532420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24970680).

22532420 is an abundant number, since it is smaller than the sum of its proper divisors (27408940).

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

22532420 is a wasteful number, since it uses less digits than its factorization.

22532420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 22532420 is about 4746.8326281848. The cubic root of 22532420 is about 282.4463364275.

Adding to 22532420 its reverse (2423522), we get a palindrome (24955942).

The spelling of 22532420 in words is "twenty-two million, five hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 530 580 733 1060 1466 1537 2932 3074 3665 6148 7330 7685 14660 15370 21257 30740 38849 42514 77698 85028 106285 155396 194245 212570 388490 425140 776980 1126621 2253242 4506484 5633105 11266210 22532420