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226673080 = 235107211251
BaseRepresentation
bin11011000001011…
…00000110111000
3120210112012000021
431200230012320
5431012014310
634254220224
75421455314
oct1540540670
9523465007
10226673080
11106a50927
1263ab4674
1337c65baa
1422166b44
1514d775da
hexd82c1b8

226673080 has 64 divisors (see below), whose sum is σ = 519281280. Its totient is φ = 89040000.

The previous prime is 226673047. The next prime is 226673089. The reversal of 226673080 is 80376622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226673089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 902955 + ... + 903205.

It is an arithmetic number, because the mean of its divisors is an integer number (8113770).

Almost surely, 2226673080 is an apocalyptic number.

226673080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226673080 is an abundant number, since it is smaller than the sum of its proper divisors (292608200).

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

226673080 is a wasteful number, since it uses less digits than its factorization.

226673080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 226673080 is about 15055.6660430550. Note that the first 3 decimals coincide. The cubic root of 226673080 is about 609.7240353441.

The spelling of 226673080 in words is "two hundred twenty-six million, six hundred seventy-three thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 107 211 214 251 422 428 502 535 844 856 1004 1055 1070 1255 1688 2008 2110 2140 2510 4220 4280 5020 8440 10040 22577 26857 45154 52961 53714 90308 105922 107428 112885 134285 180616 211844 214856 225770 264805 268570 423688 451540 529610 537140 903080 1059220 1074280 2118440 5666827 11333654 22667308 28334135 45334616 56668270 113336540 226673080