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22230000 = 2432541319
BaseRepresentation
bin101010011001…
…1001111110000
31112211101211100
41110303033300
521142330000
62112244400
7356644332
oct124631760
945741740
1022230000
1111603801
127540700
1347b4460
142d49452
151e41a00
hex15333f0

22230000 has 300 divisors, whose sum is σ = 88128040. Its totient is φ = 5184000.

The previous prime is 22229993. The next prime is 22230023. The reversal of 22230000 is 3222.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1169991 + ... + 1170009.

Almost surely, 222230000 is an apocalyptic number.

22230000 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 22230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064020).

22230000 is an abundant number, since it is smaller than the sum of its proper divisors (65898040).

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

22230000 is a wasteful number, since it uses less digits than its factorization.

22230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 22230000 is about 4714.8700936505. The cubic root of 22230000 is about 281.1770181005.

Adding to 22230000 its reverse (3222), we get a palindrome (22233222).

The spelling of 22230000 in words is "twenty-two million, two hundred thirty thousand".