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2232331311330 = 232529855299353
BaseRepresentation
bin100000011111000001010…
…100001001100011100010
321220102001000012022202200
4200133001110021203202
5243033303303430310
64425304023154030
7320165152031661
oct40370124114342
97812030168680
102232331311330
117907a991279a
123007832a5916
1313267ac345a3
147a08c878dd8
153d104a849c0
hex207c15098e2

2232331311330 has 48 divisors (see below), whose sum is σ = 6004201465080. Its totient is φ = 574761164544.

The previous prime is 2232331311289. The next prime is 2232331311347. The reversal of 2232331311330 is 331131332322.

2232331311330 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 3 + 313 + 11 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1940864136201 + 291467175129 = 1393149^2 + 539877^2 .

It is a super-3 number, since 3×22323313113303 (a number of 38 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2232331311294 and 2232331311303.

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, 427647067 + ... + 427652286.

Almost surely, 22232331311330 is an apocalyptic number.

2232331311330 is an abundant number, since it is smaller than the sum of its proper divisors (3771870153750).

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

2232331311330 is a wasteful number, since it uses less digits than its factorization.

2232331311330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855299395 (or 855299392 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2232331311330 its reverse (331131332322), we get a palindrome (2563462643652).

The spelling of 2232331311330 in words is "two trillion, two hundred thirty-two billion, three hundred thirty-one million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 855299353 1710598706 2565898059 4276496765 5131796118 7697694177 8552993530 12829490295 15395388354 24803681237 25658980590 38488470885 49607362474 74411043711 76976941770 124018406185 148822087422 223233131133 248036812370 372055218555 446466262266 744110437110 1116165655665 2232331311330