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22000133025 = 3252139417993
BaseRepresentation
bin10100011111010011…
…110110001110100001
32002210020010112221200
4110133103312032201
5330024013224100
614035015111413
71406120021343
oct243723661641
962706115850
1022000133025
11936a557622
12431b972569
1320c7b9a6c0
1410c9bb7293
1588b657e00
hex51f4f63a1

22000133025 has 72 divisors (see below), whose sum is σ = 42486223416. Its totient is φ = 10817971200.

The previous prime is 22000132961. The next prime is 22000133053. The reversal of 22000133025 is 52033100022.

It can be written as a sum of positive squares in 12 ways, for example, as 13736777616 + 8263355409 = 117204^2 + 90903^2 .

It is not a de Polignac number, because 22000133025 - 26 = 22000132961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22000132989 and 22000133007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2748429 + ... + 2756421.

Almost surely, 222000133025 is an apocalyptic number.

22000133025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22000133025 is a deficient number, since it is larger than the sum of its proper divisors (20486090391).

22000133025 is a wasteful number, since it uses less digits than its factorization.

22000133025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8963 (or 8955 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 22000133025 its reverse (52033100022), we get a palindrome (74033233047).

The spelling of 22000133025 in words is "twenty-two billion, one hundred thirty-three thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 941 975 2823 2925 4705 7993 8469 12233 14115 23525 23979 36699 39965 42345 61165 70575 71937 103909 110097 119895 183495 199825 211725 305825 311727 359685 519545 550485 599475 917475 935181 1558635 1798425 2597725 2752425 4675905 7521413 7793175 22564239 23379525 37607065 67692717 97778369 112821195 188035325 293335107 338463585 488891845 564105975 880005321 1466675535 1692317925 2444459225 4400026605 7333377675 22000133025