Search a number
-
+
32033010222 = 2341306315137
BaseRepresentation
bin11101110101010100…
…001111001000101110
310001200102202112010000
4131311110033020232
51011100422311342
622414334325130
72212544044233
oct356524171056
9101612675100
1032033010222
1112648887774
12625b9597a6
133036629625
14179c45778a
15c7735c44c
hex77550f22e

32033010222 has 40 divisors (see below), whose sum is σ = 71787908016. Its totient is φ = 10676147328.

The previous prime is 32033010209. The next prime is 32033010239. The reversal of 32033010222 is 22201033023.

It is a happy number.

32033010222 is a `hidden beast` number, since 320 + 330 + 10 + 2 + 2 + 2 = 666.

It is a super-2 number, since 2×320330102222 (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 = 32033010195 and 32033010204.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 2108638 + ... + 2123774.

Almost surely, 232033010222 is an apocalyptic number.

32033010222 is an abundant number, since it is smaller than the sum of its proper divisors (39754897794).

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

32033010222 is a wasteful number, since it uses less digits than its factorization.

32033010222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28214 (or 28205 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 32033010222 its reverse (22201033023), we get a palindrome (54234043245).

The spelling of 32033010222 in words is "thirty-two billion, thirty-three million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 13063 15137 26126 30274 39189 45411 78378 90822 117567 136233 235134 272466 352701 408699 705402 817398 1058103 1226097 2116206 2452194 197734631 395469262 593203893 1186407786 1779611679 3559223358 5338835037 10677670074 16016505111 32033010222