Search a number
-
+
20332233212225 = 5211210166548509
BaseRepresentation
bin1001001111101111101111…
…00010011100000101000001
32122222202001021212101000212
410213313313202130011001
510131110403200242400
6111124255440523505
74165645456520024
oct447676742340501
978882037771025
1020332233212225
116529940651800
122344633920595
13b4642406718c
1450412a24d1bb
15253d4c24b335
hex127df789c141

20332233212225 has 36 divisors (see below), whose sum is σ = 27986709686460. Its totient is φ = 14640671760000.

The previous prime is 20332233212191. The next prime is 20332233212267. The reversal of 20332233212225 is 52221233223302.

It can be written as a sum of positive squares in 6 ways, for example, as 114584281009 + 20217648931216 = 338503^2 + 4496404^2 .

It is not a de Polignac number, because 20332233212225 - 212 = 20332233208129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20332233212191 and 20332233212200.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 32968730 + ... + 33579779.

Almost surely, 220332233212225 is an apocalyptic number.

20332233212225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20332233212225 is a deficient number, since it is larger than the sum of its proper divisors (7654476474235).

20332233212225 is a wasteful number, since it uses less digits than its factorization.

20332233212225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66548642 (or 66548626 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 20332233212225 its reverse (52221233223302), we get a palindrome (72553466435527).

The spelling of 20332233212225 in words is "twenty trillion, three hundred thirty-two billion, two hundred thirty-three million, two hundred twelve thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 101 121 275 505 605 1111 2525 3025 5555 12221 27775 61105 305525 66548509 332742545 732033599 1663712725 3660167995 6721399409 8052369589 18300839975 33606997045 40261847945 73935393499 168034985225 201309239725 369676967495 813289328489 1848384837475 4066446642445 20332233212225