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222242431131 = 3373231043377
BaseRepresentation
bin1100111011111010101…
…1100110000010011011
3210020122110100020222000
43032332223212002123
512120123030244011
6250032522332043
722025242332000
oct3167653460233
9706573306860
10222242431131
1186286070996
12370a465a023
1317c5a463726
14aa8412b8a7
155baaede356
hex33beae609b

222242431131 has 64 divisors (see below), whose sum is σ = 400657152000. Its totient is φ = 121474007424.

The previous prime is 222242431127. The next prime is 222242431217. The reversal of 222242431131 is 131134242222.

222242431131 is a `hidden beast` number, since 2 + 2 + 224 + 2 + 431 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 222242431131 - 22 = 222242431127 is a prime.

It is a super-2 number, since 2×2222424311312 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 222242431095 and 222242431104.

It is not an unprimeable number, because it can be changed into a prime (222242431031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308686 + ... + 734691.

It is an arithmetic number, because the mean of its divisors is an integer number (6260268000).

Almost surely, 2222242431131 is an apocalyptic number.

222242431131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

222242431131 is a deficient number, since it is larger than the sum of its proper divisors (178414720869).

222242431131 is a wasteful number, since it uses less digits than its factorization.

222242431131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043430 (or 1043410 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 222242431131 its reverse (131134242222), we get a palindrome (353376673353).

The spelling of 222242431131 in words is "two hundred twenty-two billion, two hundred forty-two million, four hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 23 27 49 63 69 147 161 189 207 343 441 483 621 1029 1127 1323 1449 3087 3381 4347 7889 9261 10143 23667 30429 71001 213003 1043377 3130131 7303639 9390393 21910917 23997671 28171179 51125473 65732751 71993013 153376419 167983697 197198253 215979039 357878311 460129257 503951091 647937117 1073634933 1175885879 1380387771 1511853273 3220904799 3527657637 4535559819 8231201153 9662714397 10582972911 24693603459 31748918733 74080810377 222242431131