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226706120 = 2351731812
BaseRepresentation
bin11011000001101…
…00001011001000
3120210120212022222
431200310023020
5431014043440
634255033212
75421653534
oct1540641310
9523525288
10226706120
11106a73733
1263b0b808
1337c77c44
1422174bc4
1514d822b5
hexd8342c8

226706120 has 48 divisors (see below), whose sum is σ = 515887380. Its totient is φ = 89660160.

The previous prime is 226706087. The next prime is 226706153. The reversal of 226706120 is 21607622.

It is an interprime number because it is at equal distance from previous prime (226706087) and next prime (226706153).

It can be written as a sum of positive squares in 6 ways, for example, as 16630084 + 210076036 = 4078^2 + 14494^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 226706120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1252430 + ... + 1252610.

Almost surely, 2226706120 is an apocalyptic number.

226706120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226706120 is an abundant number, since it is smaller than the sum of its proper divisors (289181260).

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

226706120 is a wasteful number, since it uses less digits than its factorization.

226706120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 226706120 is about 15056.7632643938. The cubic root of 226706120 is about 609.7536584816.

The spelling of 226706120 in words is "two hundred twenty-six million, seven hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 173 181 346 362 692 724 865 905 1384 1448 1730 1810 3460 3620 6920 7240 31313 32761 62626 65522 125252 131044 156565 163805 250504 262088 313130 327610 626260 655220 1252520 1310440 5667653 11335306 22670612 28338265 45341224 56676530 113353060 226706120