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226618720 = 2554093463
BaseRepresentation
bin11011000000111…
…10110101100000
3120210102102102221
431200132311200
5431003244340
634253120424
75421140656
oct1540366540
9523372387
10226618720
11106a13aa9
1263a89114
1337c47223
1422150dd6
1514d6644a
hexd81ed60

226618720 has 48 divisors (see below), whose sum is σ = 536850720. Its totient is φ = 90399744.

The previous prime is 226618703. The next prime is 226618727. The reversal of 226618720 is 27816622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226618727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63709 + ... + 67171.

It is an arithmetic number, because the mean of its divisors is an integer number (11184390).

Almost surely, 2226618720 is an apocalyptic number.

226618720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226618720 is an abundant number, since it is smaller than the sum of its proper divisors (310232000).

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

226618720 is a wasteful number, since it uses less digits than its factorization.

226618720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3879 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 226618720 is about 15053.8606344021. The cubic root of 226618720 is about 609.6752907697.

The spelling of 226618720 in words is "two hundred twenty-six million, six hundred eighteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 409 818 1636 2045 3272 3463 4090 6544 6926 8180 13088 13852 16360 17315 27704 32720 34630 55408 65440 69260 110816 138520 277040 554080 1416367 2832734 5665468 7081835 11330936 14163670 22661872 28327340 45323744 56654680 113309360 226618720