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22141440 = 29325312
BaseRepresentation
bin101010001110…
…1101000000000
31112122220100100
41110131220000
521132011230
62110322400
7356125206
oct124355000
945586310
1022141440
1111553212
1274b9400
134783059
142d25076
151e25660
hex151da00

22141440 has 180 divisors, whose sum is σ = 79235442. Its totient is φ = 5713920.

The previous prime is 22141397. The next prime is 22141451. The reversal of 22141440 is 4414122.

22141440 is a `hidden beast` number, since 221 + 4 + 1 + 440 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19927296 + 2214144 = 4464^2 + 1488^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 714225 + ... + 714255.

Almost surely, 222141440 is an apocalyptic number.

22141440 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 22141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39617721).

22141440 is an abundant number, since it is smaller than the sum of its proper divisors (57094002).

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

22141440 is an equidigital number, since it uses as much as digits as its factorization.

22141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22141440 is about 4705.4691583305. The cubic root of 22141440 is about 280.8031363031.

Adding to 22141440 its reverse (4414122), we get a palindrome (26555562).

The spelling of 22141440 in words is "twenty-two million, one hundred forty-one thousand, four hundred forty".