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226432680 = 23353160869
BaseRepresentation
bin11010111111100…
…01011010101000
3120210001222020120
431133301122220
5430431321210
634245123240
75416434405
oct1537613250
9523058216
10226432680
111068a7251
12639b9520
1337bb0646
14221032ac
1514d2b270
hexd7f16a8

226432680 has 64 divisors (see below), whose sum is σ = 701222400. Its totient is φ = 58433280.

The previous prime is 226432669. The next prime is 226432691. The reversal of 226432680 is 86234622.

It is an interprime number because it is at equal distance from previous prime (226432669) and next prime (226432691).

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, 26715 + ... + 34154.

It is an arithmetic number, because the mean of its divisors is an integer number (10956600).

Almost surely, 2226432680 is an apocalyptic number.

226432680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226432680 is an abundant number, since it is smaller than the sum of its proper divisors (474789720).

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

226432680 is a wasteful number, since it uses less digits than its factorization.

226432680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60914 (or 60910 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 226432680 is about 15047.6802198877. The cubic root of 226432680 is about 609.5084098176.

The spelling of 226432680 in words is "two hundred twenty-six million, four hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 60869 121738 182607 243476 304345 365214 486952 608690 730428 913035 1217380 1460856 1826070 1886939 2434760 3652140 3773878 5660817 7304280 7547756 9434695 11321634 15095512 18869390 22643268 28304085 37738780 45286536 56608170 75477560 113216340 226432680