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22114000 = 245311057
BaseRepresentation
bin101010001011…
…0111011010000
31112121111201001
41110112323100
521130122000
62105551344
7355652206
oct124267320
945544631
1022114000
1111534637
1274a5554
13477370c
142d19076
151e1c46a
hex1516ed0

22114000 has 40 divisors (see below), whose sum is σ = 53476488. Its totient is φ = 8844800.

The previous prime is 22113989. The next prime is 22114003. The reversal of 22114000 is 41122.

It can be written as a sum of positive squares in 4 ways, for example, as 3069504 + 19044496 = 1752^2 + 4364^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22114003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3529 + ... + 7528.

Almost surely, 222114000 is an apocalyptic number.

22114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22114000 is an abundant number, since it is smaller than the sum of its proper divisors (31362488).

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

22114000 is a wasteful number, since it uses less digits than its factorization.

22114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11080 (or 11064 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 22114000 is about 4702.5524983779. The cubic root of 22114000 is about 280.6870880952.

Adding to 22114000 its reverse (41122), we get a palindrome (22155122).

The spelling of 22114000 in words is "twenty-two million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11057 22114 44228 55285 88456 110570 176912 221140 276425 442280 552850 884560 1105700 1382125 2211400 2764250 4422800 5528500 11057000 22114000