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22334304 = 253832803
BaseRepresentation
bin101010100110…
…0101101100000
31120000200220110
41111030231200
521204144204
62114411320
7360560406
oct125145540
946020813
1022334304
1111675103
127590b40
13481ca85
142d75476
151e62889
hex154cb60

22334304 has 48 divisors (see below), whose sum is σ = 59355072. Its totient is φ = 7352448.

The previous prime is 22334293. The next prime is 22334309. The reversal of 22334304 is 40343322.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×223343042 = 997642270328832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22334309) 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 7 ways as a sum of consecutive naturals, for example, 6567 + ... + 9369.

It is an arithmetic number, because the mean of its divisors is an integer number (1236564).

Almost surely, 222334304 is an apocalyptic number.

22334304 is a gapful number since it is divisible by the number (24) 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 22334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29677536).

22334304 is an abundant number, since it is smaller than the sum of its proper divisors (37020768).

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

22334304 is a wasteful number, since it uses less digits than its factorization.

22334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 22334304 is about 4725.9183234584. The cubic root of 22334304 is about 281.6160964886.

Adding to 22334304 its reverse (40343322), we get a palindrome (62677626).

The spelling of 22334304 in words is "twenty-two million, three hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 2803 3984 5606 7968 8409 11212 16818 22424 33636 44848 67272 89696 134544 232649 269088 465298 697947 930596 1395894 1861192 2791788 3722384 5583576 7444768 11167152 22334304