Search a number
-
+
226165500 = 223353111523
BaseRepresentation
bin11010111101100…
…00001011111100
3120202120101202000
431132300023330
5430344244000
634235302300
75414242431
oct1536601374
9522511660
10226165500
11106734540
12638aa990
1337b18b52
1422073b88
1514cc7000
hexd7b02fc

226165500 has 192 divisors, whose sum is σ = 798819840. Its totient is φ = 54792000.

The previous prime is 226165483. The next prime is 226165507. The reversal of 226165500 is 5561622.

226165500 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 655 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226165507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147739 + ... + 149261.

It is an arithmetic number, because the mean of its divisors is an integer number (4160520).

Almost surely, 2226165500 is an apocalyptic number.

226165500 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 226165500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399409920).

226165500 is an abundant number, since it is smaller than the sum of its proper divisors (572654340).

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

226165500 is a wasteful number, since it uses less digits than its factorization.

226165500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 226165500 is about 15038.7998191345. The cubic root of 226165500 is about 609.2685849681.

The spelling of 226165500 in words is "two hundred twenty-six million, one hundred sixty-five thousand, five hundred".