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10221122232 = 2332252156311
BaseRepresentation
bin10011000010011100…
…11111001010111000
3222101022211210210200
421201032133022320
5131413101402412
64410122042200
7511201051116
oct114116371270
928338753720
1010221122232
114375614462
121b93049360
13c6b75b929
146cd682ab6
153ec4da9dc
hex26139f2b8

10221122232 has 48 divisors (see below), whose sum is σ = 27693678480. Its totient is φ = 3405628800.

The previous prime is 10221122209. The next prime is 10221122281. The reversal of 10221122232 is 23222112201.

10221122232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 153357 + ... + 209667.

It is an arithmetic number, because the mean of its divisors is an integer number (576951635).

Almost surely, 210221122232 is an apocalyptic number.

10221122232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221122232 is an abundant number, since it is smaller than the sum of its proper divisors (17472556248).

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

10221122232 is a wasteful number, since it uses less digits than its factorization.

10221122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58844 (or 58837 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10221122232 its reverse (23222112201), we get a palindrome (33443234433).

The spelling of 10221122232 in words is "ten billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2521 5042 7563 10084 15126 20168 22689 30252 45378 56311 60504 90756 112622 168933 181512 225244 337866 450488 506799 675732 1013598 1351464 2027196 4054392 141960031 283920062 425880093 567840124 851760186 1135680248 1277640279 1703520372 2555280558 3407040744 5110561116 10221122232