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22014720 = 283357213
BaseRepresentation
bin101001111111…
…0101100000000
31112102110112000
41103332230000
521113432340
62103504000
7355056600
oct123765400
945373460
1022014720
1111476a92
127458000
13473a480
142cd0c00
151decd30
hex14feb00

22014720 has 432 divisors, whose sum is σ = 97866720. Its totient is φ = 4644864.

The previous prime is 22014719. The next prime is 22014731. The reversal of 22014720 is 2741022.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 22014693 and 22014702.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693434 + ... + 1693446.

Almost surely, 222014720 is an apocalyptic number.

22014720 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 22014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48933360).

22014720 is an abundant number, since it is smaller than the sum of its proper divisors (75852000).

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

22014720 is a wasteful number, since it uses less digits than its factorization.

22014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 22014720 is about 4691.9846547064. The cubic root of 22014720 is about 280.2664131008.

Adding to 22014720 its reverse (2741022), we get a palindrome (24755742).

The spelling of 22014720 in words is "twenty-two million, fourteen thousand, seven hundred twenty".