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226121414031 = 32291291671081
BaseRepresentation
bin1101001010010111100…
…0101111010110001111
3210121122210100000011100
43102211320233112033
512201044040222111
6251513450354143
722223333210022
oct3224570572617
9717583300140
10226121414031
1187996709187
12379a772b953
1318427c93296
14ad3137d1b9
155d3680c756
hex34a5e2f58f

226121414031 has 24 divisors (see below), whose sum is σ = 338144798160. Its totient is φ = 145436457600.

The previous prime is 226121414027. The next prime is 226121414131. The reversal of 226121414031 is 130414121622.

226121414031 is a `hidden beast` number, since 2 + 2 + 612 + 1 + 4 + 1 + 40 + 3 + 1 = 666.

It is not a de Polignac number, because 226121414031 - 22 = 226121414027 is a prime.

It is a super-2 number, since 2×2261214140312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226121413986 and 226121414004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226121414131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1411 + ... + 672491.

It is an arithmetic number, because the mean of its divisors is an integer number (14089366590).

Almost surely, 2226121414031 is an apocalyptic number.

226121414031 is a deficient number, since it is larger than the sum of its proper divisors (112023384129).

226121414031 is a wasteful number, since it uses less digits than its factorization.

226121414031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672407 (or 672404 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 226121414031 its reverse (130414121622), we get a palindrome (356535535653).

The spelling of 226121414031 in words is "two hundred twenty-six billion, one hundred twenty-one million, four hundred fourteen thousand, thirty-one".

Divisors: 1 3 9 29 87 261 1291 3873 11619 37439 112317 336951 671081 2013243 6039729 19461349 58384047 175152141 866365571 2599096713 7797290139 25124601559 75373804677 226121414031