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23222311120 = 245290278889
BaseRepresentation
bin10101101000001010…
…000101100011010000
32012221101212122010001
4111220022011203100
5340024402423440
614400154415344
71451320246651
oct255012054320
965841778101
1023222311120
119937431068
124601131554
1322611587c8
1411a423b528
1590dac4b9a
hex5682858d0

23222311120 has 20 divisors (see below), whose sum is σ = 53991873540. Its totient is φ = 9288924416.

The previous prime is 23222311069. The next prime is 23222311129. The reversal of 23222311120 is 2111322232.

It can be written as a sum of positive squares in 2 ways, for example, as 10209889936 + 13012421184 = 101044^2 + 114072^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23222311129) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 145139365 + ... + 145139524.

It is an arithmetic number, because the mean of its divisors is an integer number (2699593677).

Almost surely, 223222311120 is an apocalyptic number.

23222311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23222311120 is an abundant number, since it is smaller than the sum of its proper divisors (30769562420).

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

23222311120 is a wasteful number, since it uses less digits than its factorization.

23222311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290278902 (or 290278896 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 23222311120 its reverse (2111322232), we get a palindrome (25333633352).

The spelling of 23222311120 in words is "twenty-three billion, two hundred twenty-two million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 290278889 580557778 1161115556 1451394445 2322231112 2902788890 4644462224 5805577780 11611155560 23222311120