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10084222530 = 23251013110609
BaseRepresentation
bin10010110010001000…
…10000011001000010
3222000210020120201100
421121010100121002
5131123030110110
64344351515230
7504616322454
oct113104203102
928023216640
1010084222530
11430530a708
121b55228b16
13c492987a5
146b94082d4
153e0497bc0
hex259110642

10084222530 has 48 divisors (see below), whose sum is σ = 26245098360. Its totient is φ = 2686447104.

The previous prime is 10084222517. The next prime is 10084222541. The reversal of 10084222530 is 3522248001.

10084222530 is a `hidden beast` number, since 100 + 8 + 4 + 2 + 22 + 530 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6797837601 + 3286384929 = 82449^2 + 57327^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10084222494 and 10084222503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35866 + ... + 146474.

Almost surely, 210084222530 is an apocalyptic number.

10084222530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10084222530 is an abundant number, since it is smaller than the sum of its proper divisors (16160875830).

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

10084222530 is a wasteful number, since it uses less digits than its factorization.

10084222530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111635 (or 111632 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 10084222530 in words is "ten billion, eighty-four million, two hundred twenty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1013 2026 3039 5065 6078 9117 10130 15195 18234 30390 45585 91170 110609 221218 331827 553045 663654 995481 1106090 1659135 1990962 3318270 4977405 9954810 112046917 224093834 336140751 560234585 672281502 1008422253 1120469170 1680703755 2016844506 3361407510 5042111265 10084222530