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22230720 = 263353183
BaseRepresentation
bin101010011001…
…1011011000000
31112211102211000
41110303123000
521142340340
62112252000
7356646411
oct124633300
945742730
1022230720
11116042a6
127541000
1347b4895
142d49808
151e41d30
hex15336c0

22230720 has 224 divisors, whose sum is σ = 81930240. Its totient is φ = 5667840.

The previous prime is 22230709. The next prime is 22230727. The reversal of 22230720 is 2703222.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 22230693 and 22230702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22230727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267799 + ... + 267881.

It is an arithmetic number, because the mean of its divisors is an integer number (365760).

Almost surely, 222230720 is an apocalyptic number.

22230720 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 22230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965120).

22230720 is an abundant number, since it is smaller than the sum of its proper divisors (59699520).

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

22230720 is a wasteful number, since it uses less digits than its factorization.

22230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 22230720 is about 4714.9464472038. The cubic root of 22230720 is about 281.1800537171.

Adding to 22230720 its reverse (2703222), we get a palindrome (24933942).

The spelling of 22230720 in words is "twenty-two million, two hundred thirty thousand, seven hundred twenty".