Search a number
-
+
222132020033 = 71137431813219
BaseRepresentation
bin1100111011100000011…
…0011010001101000001
3210020100202120210102002
43032320012122031001
512114411244120113
6250013540033345
722022432005520
oct3167006321501
9706322523362
10222132020033
1186229809450
1237073692855
1317c40616211
14aa735ca4b7
155ba147ec58
hex33b819a341

222132020033 has 32 divisors (see below), whose sum is σ = 291043568640. Its totient is φ = 164495136960.

The previous prime is 222132020003. The next prime is 222132020039. The reversal of 222132020033 is 330020231222.

It is not a de Polignac number, because 222132020033 - 222 = 222127825729 is a prime.

It is a super-2 number, since 2×2221320200332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222132019987 and 222132020014.

It is not an unprimeable number, because it can be changed into a prime (222132020039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784103 + ... + 1029116.

It is an arithmetic number, because the mean of its divisors is an integer number (9095111520).

Almost surely, 2222132020033 is an apocalyptic number.

It is an amenable number.

222132020033 is a deficient number, since it is larger than the sum of its proper divisors (68911548607).

222132020033 is a wasteful number, since it uses less digits than its factorization.

222132020033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813317.

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 222132020033 its reverse (330020231222), we get a palindrome (552152251255).

The spelling of 222132020033 in words is "two hundred twenty-two billion, one hundred thirty-two million, twenty thousand, thirty-three".

Divisors: 1 7 11 37 43 77 259 301 407 473 1591 2849 3311 11137 17501 122507 1813219 12692533 19945409 67089103 77968417 139617863 469623721 545778919 737980133 857652587 2884831429 5165860931 6003568109 20193820003 31733145719 222132020033