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226105373 = 1329220681
BaseRepresentation
bin11010111101000…
…01100000011101
3120202110100021002
431132201200131
5430340332443
634234120045
75413602224
oct1536414035
9522410232
10226105373
111066a334a
1263880025
1337ac7680
1422059cbb
1514cb42b8
hexd7a181d

226105373 has 12 divisors (see below), whose sum is σ = 252196308. Its totient is φ = 201505920.

The previous prime is 226105361. The next prime is 226105379. The reversal of 226105373 is 373501622.

226105373 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 6 ways, for example, as 36024004 + 190081369 = 6002^2 + 13787^2 .

It is not a de Polignac number, because 226105373 - 24 = 226105357 is a prime.

It is a super-2 number, since 2×2261053732 = 102247279398938258, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226105379) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 593 + ... + 21273.

It is an arithmetic number, because the mean of its divisors is an integer number (21016359).

Almost surely, 2226105373 is an apocalyptic number.

It is an amenable number.

226105373 is a deficient number, since it is larger than the sum of its proper divisors (26090935).

226105373 is a wasteful number, since it uses less digits than its factorization.

226105373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20752 (or 20723 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 226105373 is about 15036.8006238029. The cubic root of 226105373 is about 609.2145880218.

Adding to 226105373 its reverse (373501622), we get a palindrome (599606995).

The spelling of 226105373 in words is "two hundred twenty-six million, one hundred five thousand, three hundred seventy-three".

Divisors: 1 13 29 377 841 10933 20681 268853 599749 7796737 17392721 226105373