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10223063928 = 23327112238269
BaseRepresentation
bin10011000010101011…
…11001001101111000
3222101110111110022100
421201111321031320
5131414101021203
64410231423400
7511223416050
oct114125711570
928343443270
1010223063928
114376720270
121b93824b60
13c6bc8b66c
146cda2a560
153ec770ea3
hex261579378

10223063928 has 192 divisors, whose sum is σ = 34678425600. Its totient is φ = 2643114240.

The previous prime is 10223063927. The next prime is 10223063941. The reversal of 10223063928 is 82936032201.

10223063928 is a `hidden beast` number, since 10 + 2 + 2 + 3 + 0 + 639 + 2 + 8 = 666.

10223063928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102230639282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10223063892 and 10223063901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223063923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1232178 + ... + 1240446.

It is an arithmetic number, because the mean of its divisors is an integer number (180616800).

Almost surely, 210223063928 is an apocalyptic number.

10223063928 is a gapful number since it is divisible by the number (18) 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 10223063928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17339212800).

10223063928 is an abundant number, since it is smaller than the sum of its proper divisors (24455361672).

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

10223063928 is a wasteful number, since it uses less digits than its factorization.

10223063928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8522 (or 8515 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10223063928 in words is "ten billion, two hundred twenty-three million, sixty-three thousand, nine hundred twenty-eight".