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22195540 = 2251797673
BaseRepresentation
bin101010010101…
…0110101010100
31112202122120001
41110222311110
521140224130
62111421044
7356442013
oct124526524
945678501
1022195540
111158a924
127524784
1347a1873
142d3aa7a
151e366ca
hex152ad54

22195540 has 48 divisors (see below), whose sum is σ = 49935312. Its totient is φ = 8257536.

The previous prime is 22195517. The next prime is 22195543. The reversal of 22195540 is 4559122.

It can be written as a sum of positive squares in 8 ways, for example, as 30276 + 22165264 = 174^2 + 4708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22195499 and 22195508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22195543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32644 + ... + 33316.

It is an arithmetic number, because the mean of its divisors is an integer number (1040319).

Almost surely, 222195540 is an apocalyptic number.

22195540 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 22195540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24967656).

22195540 is an abundant number, since it is smaller than the sum of its proper divisors (27739772).

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

22195540 is a wasteful number, since it uses less digits than its factorization.

22195540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 22195540 is about 4711.2142808410. The cubic root of 22195540 is about 281.0316534126.

The spelling of 22195540 in words is "twenty-two million, one hundred ninety-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 673 970 1346 1649 1940 2692 3298 3365 6596 6730 8245 11441 13460 16490 22882 32980 45764 57205 65281 114410 130562 228820 261124 326405 652810 1109777 1305620 2219554 4439108 5548885 11097770 22195540