Search a number
-
+
226078880 = 2553738189
BaseRepresentation
bin11010111100110…
…11000010100000
3120202101222220212
431132123002200
5430334011010
634233353252
75413432046
oct1536330240
9522358825
10226078880
11106685455
1263868828
1337ab85b1
1422050396
1514cab505
hexd79b0a0

226078880 has 48 divisors (see below), whose sum is σ = 548561160. Its totient is φ = 87985152.

The previous prime is 226078829. The next prime is 226078889. The reversal of 226078880 is 88870622.

It can be written as a sum of positive squares in 4 ways, for example, as 179238544 + 46840336 = 13388^2 + 6844^2 .

It is a super-2 number, since 2×2260788802 = 102223319964108800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226078889) 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, 13175 + ... + 25014.

Almost surely, 2226078880 is an apocalyptic number.

226078880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226078880 is an abundant number, since it is smaller than the sum of its proper divisors (322482280).

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

226078880 is a wasteful number, since it uses less digits than its factorization.

226078880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38241 (or 38233 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 226078880 is about 15035.9196592693. The cubic root of 226078880 is about 609.1907929917.

The spelling of 226078880 in words is "two hundred twenty-six million, seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 38189 76378 152756 190945 305512 381890 611024 763780 1222048 1412993 1527560 2825986 3055120 5651972 6110240 7064965 11303944 14129930 22607888 28259860 45215776 56519720 113039440 226078880