Search a number
-
+
33222010122 = 23271247321139
BaseRepresentation
bin11110111100001011…
…111010010100001010
310011202022001222100100
4132330023322110022
51021014313310442
623132330550230
72254162266240
oct367413722412
9104668058310
1033222010122
11130a8a5aa14
126531b98376
133195a6bc72
141872322790
15ce692384c
hex7bc2fa50a

33222010122 has 48 divisors (see below), whose sum is σ = 82274512320. Its totient is φ = 9490792896.

The previous prime is 33222010097. The next prime is 33222010127. The reversal of 33222010122 is 22101022233.

It is a super-2 number, since 2×332220101222 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33222010095 and 33222010104.

It is not an unprimeable number, because it can be changed into a prime (33222010127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1561029 + ... + 1582167.

It is an arithmetic number, because the mean of its divisors is an integer number (1714052340).

Almost surely, 233222010122 is an apocalyptic number.

33222010122 is an abundant number, since it is smaller than the sum of its proper divisors (49052502198).

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

33222010122 is a wasteful number, since it uses less digits than its factorization.

33222010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33627 (or 33624 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 33222010122 its reverse (22101022233), we get a palindrome (55323032355).

The spelling of 33222010122 in words is "thirty-three billion, two hundred twenty-two million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 12473 21139 24946 37419 42278 63417 74838 87311 112257 126834 147973 174622 190251 224514 261933 295946 380502 443919 523866 785799 887838 1331757 1571598 2663514 263666747 527333494 791000241 1582000482 1845667229 2373000723 3691334458 4746001446 5537001687 11074003374 16611005061 33222010122