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20222224330032 = 2432236105744061
BaseRepresentation
bin1001001100100010110100…
…11111110110110100110000
32122121020002120202010120200
410212101122133312310300
510122310103412030112
6111001543412435200
74155002366453664
oct446213237666460
978536076663520
1020222224330032
11649721949533a
122327252018b00
13b38c41a7a44a
144dca91bd68a4
1525105e49bcdc
hex12645a7f6d30

20222224330032 has 60 divisors (see below), whose sum is σ = 59054756567664. Its totient is φ = 6447665727360.

The previous prime is 20222224329893. The next prime is 20222224330039. The reversal of 20222224330032 is 23003342222202.

20222224330032 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 222 + 433 + 0 + 0 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20222224329978 and 20222224330005.

It is not an unprimeable number, because it can be changed into a prime (20222224330039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3052868719 + ... + 3052875342.

Almost surely, 220222224330032 is an apocalyptic number.

It is an amenable number.

20222224330032 is an abundant number, since it is smaller than the sum of its proper divisors (38832532237632).

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

20222224330032 is a wasteful number, since it uses less digits than its factorization.

20222224330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105744098 (or 6105744089 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 20222224330032 its reverse (23003342222202), we get a palindrome (43225566552234).

The spelling of 20222224330032 in words is "twenty trillion, two hundred twenty-two billion, two hundred twenty-four million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 6105744061 12211488122 18317232183 24422976244 36634464366 48845952488 54951696549 73268928732 97691904976 109903393098 140432113403 146537857464 219806786196 280864226806 293075714928 421296340209 439613572392 561728453612 842592680418 879227144784 1123456907224 1263889020627 1685185360836 2246913814448 2527778041254 3370370721672 5055556082508 6740741443344 10111112165016 20222224330032