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22487040 = 21332561
BaseRepresentation
bin101010111001…
…0000000000000
31120022110102100
41111302000000
521224041130
62121550400
7362064612
oct125620000
946273370
1022487040
1111769934
127645400
134874454
142db4db2
151e92c60
hex1572000

22487040 has 168 divisors, whose sum is σ = 79228188. Its totient is φ = 5898240.

The previous prime is 22486973. The next prime is 22487041. The reversal of 22487040 is 4078422.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 2985984 = 4416^2 + 1728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22486995 and 22487013.

It is not an unprimeable number, because it can be changed into a prime (22487041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368610 + ... + 368670.

Almost surely, 222487040 is an apocalyptic number.

22487040 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 22487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39614094).

22487040 is an abundant number, since it is smaller than the sum of its proper divisors (56741148).

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

22487040 is an equidigital number, since it uses as much as digits as its factorization.

22487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 22487040 is about 4742.0501895277. The cubic root of 22487040 is about 282.2565945786.

The spelling of 22487040 in words is "twenty-two million, four hundred eighty-seven thousand, forty".