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222131313252 = 2234685590473
BaseRepresentation
bin1100111011100000001…
…1101101101001100100
3210020100201020212220000
43032320003231221210
512114411104011002
6250013512541300
722022423003112
oct3167003555144
9706321225800
10222131313252
1186229376432
12370733b1830
1317c404295c4
14aa73484ab2
155ba139061c
hex33b80eda64

222131313252 has 30 divisors (see below), whose sum is σ = 580695131478. Its totient is φ = 74043770976.

The previous prime is 222131313251. The next prime is 222131313323. The reversal of 222131313252 is 252313131222.

222131313252 is a `hidden beast` number, since 2 + 2 + 21 + 313 + 1 + 325 + 2 = 666.

222131313252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 214532006976 + 7599306276 = 463176^2 + 87174^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (222131313251) 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 9 ways as a sum of consecutive naturals, for example, 342794913 + ... + 342795560.

Almost surely, 2222131313252 is an apocalyptic number.

It is an amenable number.

222131313252 is an abundant number, since it is smaller than the sum of its proper divisors (358563818226).

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

222131313252 is a wasteful number, since it uses less digits than its factorization.

222131313252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685590489 (or 685590478 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 222131313252 its reverse (252313131222), we get a palindrome (474444444474).

The spelling of 222131313252 in words is "two hundred twenty-two billion, one hundred thirty-one million, three hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 685590473 1371180946 2056771419 2742361892 4113542838 6170314257 8227085676 12340628514 18510942771 24681257028 37021885542 55532828313 74043771084 111065656626 222131313252