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226161160 = 23559611571
BaseRepresentation
bin11010111101011…
…11001000001000
3120202120011210021
431132233020020
5430344124120
634235230224
75414223661
oct1536571010
9522504707
10226161160
11106731255
12638a8374
1337b16b94
1422072368
1514cc5aaa
hexd7af208

226161160 has 64 divisors (see below), whose sum is σ = 526305600. Its totient is φ = 87417600.

The previous prime is 226161077. The next prime is 226161163. The reversal of 226161160 is 61161622.

226161160 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261611602 = 102297740585091200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226161163) 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, 143175 + ... + 144745.

It is an arithmetic number, because the mean of its divisors is an integer number (8223525).

Almost surely, 2226161160 is an apocalyptic number.

226161160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226161160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263152800).

226161160 is an abundant number, since it is smaller than the sum of its proper divisors (300144440).

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

226161160 is a wasteful number, since it uses less digits than its factorization.

226161160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 226161160 is about 15038.6555250129. The cubic root of 226161160 is about 609.2646877593.

The spelling of 226161160 in words is "two hundred twenty-six million, one hundred sixty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 59 61 118 122 236 244 295 305 472 488 590 610 1180 1220 1571 2360 2440 3142 3599 6284 7198 7855 12568 14396 15710 17995 28792 31420 35990 62840 71980 92689 95831 143960 185378 191662 370756 383324 463445 479155 741512 766648 926890 958310 1853780 1916620 3707560 3833240 5654029 11308058 22616116 28270145 45232232 56540290 113080580 226161160