Search a number
-
+
226125520 = 24515118719
BaseRepresentation
bin11010111101001…
…10011011010000
3120202111100220021
431132212123100
5430342004040
634234353224
75414015035
oct1536463320
9522440807
10226125520
111067074a5
126388b814
1337b038aa
142206338c
1514cba24a
hexd7a66d0

226125520 has 40 divisors (see below), whose sum is σ = 529251840. Its totient is φ = 89846400.

The previous prime is 226125511. The next prime is 226125521. The reversal of 226125520 is 25521622.

It is a happy number.

226125520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2261255202 = 102265501590540800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226125521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2721 + ... + 21439.

It is an arithmetic number, because the mean of its divisors is an integer number (13231296).

Almost surely, 2226125520 is an apocalyptic number.

226125520 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 226125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264625920).

226125520 is an abundant number, since it is smaller than the sum of its proper divisors (303126320).

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

226125520 is a wasteful number, since it uses less digits than its factorization.

226125520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18883 (or 18877 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 226125520 is about 15037.4705319745. The cubic root of 226125520 is about 609.2326820659.

The spelling of 226125520 in words is "two hundred twenty-six million, one hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 2416 3020 6040 12080 18719 37438 74876 93595 149752 187190 299504 374380 748760 1497520 2826569 5653138 11306276 14132845 22612552 28265690 45225104 56531380 113062760 226125520