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226120160 = 2557201893
BaseRepresentation
bin11010111101001…
…01000111100000
3120202111002112202
431132211013200
5430341321120
634234312332
75413663310
oct1536450740
9522432482
10226120160
11106703472
12638886a8
1337b01316
1422061440
1514cb8875
hexd7a51e0

226120160 has 48 divisors (see below), whose sum is σ = 610527456. Its totient is φ = 77526528.

The previous prime is 226120157. The next prime is 226120217. The reversal of 226120160 is 61021622.

It is a happy number.

226120160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261201602 = 102260653516851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99827 + ... + 102066.

It is an arithmetic number, because the mean of its divisors is an integer number (12719322).

Almost surely, 2226120160 is an apocalyptic number.

226120160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226120160 is an abundant number, since it is smaller than the sum of its proper divisors (384407296).

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

226120160 is a wasteful number, since it uses less digits than its factorization.

226120160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201915 (or 201907 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 226120160 is about 15037.2923094552. The cubic root of 226120160 is about 609.2278683487.

Adding to 226120160 its reverse (61021622), we get a palindrome (287141782).

The spelling of 226120160 in words is "two hundred twenty-six million, one hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 201893 403786 807572 1009465 1413251 1615144 2018930 2826502 3230288 4037860 5653004 6460576 7066255 8075720 11306008 14132510 16151440 22612016 28265020 32302880 45224032 56530040 113060080 226120160