Search a number
-
+
33222003321330 = 23251721713727661
BaseRepresentation
bin1111000110111000110011…
…01101001110100111110010
311100121222210112101020220200
413203130121231032213302
513323302130322240310
6154353551100220030
76666132132631215
oct743343155164762
9140558715336820
1033222003321330
11a649410862a0a
12388679183a616
13156ca8aa03c85
1482bd4c72b77c
153c92a95299c0
hex1e3719b4e9f2

33222003321330 has 48 divisors (see below), whose sum is σ = 91458220912344. Its totient is φ = 8338071421440.

The previous prime is 33222003321323. The next prime is 33222003321349. The reversal of 33222003321330 is 3312330022233.

33222003321330 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 2 + 0 + 0 + 3 + 321 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26045171281809 + 7176832039521 = 5103447^2 + 2678961^2 .

It is a super-2 number, since 2×332220033213302 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33222003321294 and 33222003321303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10856862301 + ... + 10856865360.

Almost surely, 233222003321330 is an apocalyptic number.

33222003321330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33222003321330 is an abundant number, since it is smaller than the sum of its proper divisors (58236217591014).

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

33222003321330 is a wasteful number, since it uses less digits than its factorization.

33222003321330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21713727691 (or 21713727688 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 33222003321330 its reverse (3312330022233), we get a palindrome (36534333343563).

The spelling of 33222003321330 in words is "thirty-three trillion, two hundred twenty-two billion, three million, three hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 21713727661 43427455322 65141182983 108568638305 130282365966 195423548949 217137276610 325705914915 369133370237 390847097898 651411829830 738266740474 977117744745 1107400110711 1845666851185 1954235489490 2214800221422 3322200332133 3691333702370 5537000553555 6644400664266 11074001107110 16611001660665 33222003321330