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10223863128 = 2332442132119
BaseRepresentation
bin10011000010110001…
…11100010101011000
3222101112000001121100
421201120330111120
5131414302110003
64410300511400
7511233255063
oct114130742530
928345001540
1010223863128
114377116766
121b93b4b560
13c6c1ab36b
146cdb978da
153ec87cba3
hex26163c558

10223863128 has 48 divisors (see below), whose sum is σ = 27696754800. Its totient is φ = 3407077440.

The previous prime is 10223863127. The next prime is 10223863157. The reversal of 10223863128 is 82136832201.

10223863128 is a `hidden beast` number, since 10 + 2 + 2 + 3 + 8 + 631 + 2 + 8 = 666.

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 = 10223863092 and 10223863101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223863127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302253 + ... + 334371.

It is an arithmetic number, because the mean of its divisors is an integer number (577015725).

Almost surely, 210223863128 is an apocalyptic number.

10223863128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10223863128 is an abundant number, since it is smaller than the sum of its proper divisors (17472891672).

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

10223863128 is a wasteful number, since it uses less digits than its factorization.

10223863128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36552 (or 36545 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10223863128 in words is "ten billion, two hundred twenty-three million, eight hundred sixty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4421 8842 13263 17684 26526 32119 35368 39789 53052 64238 79578 96357 106104 128476 159156 192714 256952 289071 318312 385428 578142 770856 1156284 2312568 141998099 283996198 425994297 567992396 851988594 1135984792 1277982891 1703977188 2555965782 3407954376 5111931564 10223863128