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226618340 = 225133723557
BaseRepresentation
bin11011000000111…
…10101111100100
3120210102101220212
431200132233210
5431003241330
634253114552
75421136604
oct1540365744
9523371825
10226618340
11106a13793
1263a88a58
1337c46cc0
1422150c04
1514d66295
hexd81ebe4

226618340 has 48 divisors (see below), whose sum is σ = 526379952. Its totient is φ = 81409536.

The previous prime is 226618291. The next prime is 226618367. The reversal of 226618340 is 43816622.

It can be written as a sum of positive squares in 8 ways, for example, as 35736484 + 190881856 = 5978^2 + 13816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 226618297 and 226618306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2159 + ... + 21398.

It is an arithmetic number, because the mean of its divisors is an integer number (10966249).

Almost surely, 2226618340 is an apocalyptic number.

226618340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226618340 is an abundant number, since it is smaller than the sum of its proper divisors (299761612).

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

226618340 is a wasteful number, since it uses less digits than its factorization.

226618340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23616 (or 23614 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 226618340 is about 15053.8480130497. The cubic root of 226618340 is about 609.6749499965.

The spelling of 226618340 in words is "two hundred twenty-six million, six hundred eighteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 23557 47114 94228 117785 235570 306241 471140 612482 871609 1224964 1531205 1743218 3062410 3486436 4358045 6124820 8716090 11330917 17432180 22661834 45323668 56654585 113309170 226618340