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52194220232 = 237211210492
BaseRepresentation
bin110000100111000001…
…001001100011001000
311222201111122002220212
4300213001021203020
51323343210021412
635551103140252
73525264360200
oct604701114310
9158644562825
1052194220232
1120154305200
12a1478a4688
134bca5296ab
142751d05400
15155731e222
hexc270498c8

52194220232 has 108 divisors (see below), whose sum is σ = 125251500465. Its totient is φ = 20316024960.

The previous prime is 52194220231. The next prime is 52194220297. The reversal of 52194220232 is 23202249125.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 41260171876 + 10934048356 = 203126^2 + 104566^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=161546.

It is not an unprimeable number, because it can be changed into a prime (52194220231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49755644 + ... + 49756692.

Almost surely, 252194220232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52194220232

52194220232 is an abundant number, since it is smaller than the sum of its proper divisors (73057280233).

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

52194220232 is a wasteful number, since it uses less digits than its factorization.

52194220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Multiplying 52194220232 by its sum of digits (32), we get a square (1670215047424 = 12923682).

Adding to 52194220232 its reverse (23202249125), we get a palindrome (75396469357).

The spelling of 52194220232 in words is "fifty-two billion, one hundred ninety-four million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 847 968 1049 1078 1694 2098 2156 3388 4196 4312 5929 6776 7343 8392 11539 11858 14686 23078 23716 29372 46156 47432 51401 58744 80773 92312 102802 126929 161546 205604 253858 323092 411208 507716 565411 646184 888503 1015432 1100401 1130822 1777006 2200802 2261644 3554012 4401604 4523288 6219521 7108024 7702807 8803208 12104411 12439042 15405614 24208822 24878084 30811228 48417644 49756168 53919649 61622456 84730877 96835288 107839298 133148521 169461754 215678596 266297042 338923508 431357192 532594084 593116139 677847016 932039647 1065188168 1186232278 1864079294 2372464556 3728158588 4744929112 6524277529 7456317176 13048555058 26097110116 52194220232