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22210400331 = 3272417145861
BaseRepresentation
bin10100101011110101…
…111101000001001011
32010022212210020110200
4110223311331001023
5330441330302311
614111525543243
71414252200510
oct245365750113
963285706420
1022210400331
119468212559
12437a274b23
13212c60b122
141109aad307
1589ed3e556
hex52bd7d04b

22210400331 has 24 divisors (see below), whose sum is σ = 36680208864. Its totient is φ = 12686319360.

The previous prime is 22210400273. The next prime is 22210400357. The reversal of 22210400331 is 13300401222.

22210400331 is a `hidden beast` number, since 22 + 210 + 400 + 3 + 31 = 666.

It is not a de Polignac number, because 22210400331 - 214 = 22210383947 is a prime.

It is a super-2 number, since 2×222104003312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22210401331) 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 23 ways as a sum of consecutive naturals, for example, 79341 + ... + 225201.

It is an arithmetic number, because the mean of its divisors is an integer number (1528342036).

Almost surely, 222210400331 is an apocalyptic number.

22210400331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22210400331 is a deficient number, since it is larger than the sum of its proper divisors (14469808533).

22210400331 is a wasteful number, since it uses less digits than its factorization.

22210400331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148291 (or 148288 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22210400331 its reverse (13300401222), we get a palindrome (35510801553).

The spelling of 22210400331 in words is "twenty-two billion, two hundred ten million, four hundred thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 2417 7251 16919 21753 50757 145861 152271 437583 1021027 1312749 3063081 9189243 352546037 1057638111 2467822259 3172914333 7403466777 22210400331