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226825740 = 223251260143
BaseRepresentation
bin11011000010100…
…01011000001100
3120210210221102100
431201101120030
5431031410430
634301355100
75422662351
oct1541213014
9523727370
10226825740
11107045599
1263b68a90
1337cba51b
14221a6628
1514da7960
hexd85160c

226825740 has 36 divisors (see below), whose sum is σ = 688038624. Its totient is φ = 60486816.

The previous prime is 226825721. The next prime is 226825763. The reversal of 226825740 is 47528622.

226825740 is a `hidden beast` number, since 2 + 2 + 6 + 82 + 574 + 0 = 666.

226825740 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 (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226825695 and 226825704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 629892 + ... + 630251.

It is an arithmetic number, because the mean of its divisors is an integer number (19112184).

Almost surely, 2226825740 is an apocalyptic number.

226825740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226825740 is an abundant number, since it is smaller than the sum of its proper divisors (461212884).

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

226825740 is a wasteful number, since it uses less digits than its factorization.

226825740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260158 (or 1260153 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 226825740 is about 15060.7350418232. The cubic root of 226825740 is about 609.8608838002.

The spelling of 226825740 in words is "two hundred twenty-six million, eight hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1260143 2520286 3780429 5040572 6300715 7560858 11341287 12601430 15121716 18902145 22682574 25202860 37804290 45365148 56706435 75608580 113412870 226825740