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22320242010 = 23351125471249
BaseRepresentation
bin10100110010011000…
…111101110101011010
32010121112110202221000
4110302120331311122
5331202440221020
614130452125430
71420054632603
oct246230756532
963545422830
1022320242010
119514216200
1243ab006876
1321492b93c1
14111a502daa
158a97da090
hex53263dd5a

22320242010 has 192 divisors, whose sum is σ = 65595600000. Its totient is φ = 5396751360.

The previous prime is 22320241991. The next prime is 22320242069. The reversal of 22320242010 is 1024202322.

22320242010 is a `hidden beast` number, since 2 + 232 + 0 + 2 + 420 + 10 = 666.

It is a super-3 number, since 3×223202420103 (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17869866 + ... + 17871114.

It is an arithmetic number, because the mean of its divisors is an integer number (341643750).

Almost surely, 222320242010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22320242010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32797800000).

22320242010 is an abundant number, since it is smaller than the sum of its proper divisors (43275357990).

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

22320242010 is a wasteful number, since it uses less digits than its factorization.

22320242010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22320242010 its reverse (1024202322), we get a palindrome (23344444332).

The spelling of 22320242010 in words is "twenty-two billion, three hundred twenty million, two hundred forty-two thousand, ten".