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838225417 = 3722998929
BaseRepresentation
bin110001111101100…
…100111000001001
32011102021021002211
4301331210320021
53204041203132
6215102025121
726525540611
oct6175447011
92142237084
10838225417
113a017a187
121b48781a1
13104877a93
147d479a41
154d8c8147
hex31f64e09

838225417 has 8 divisors (see below), whose sum is σ = 864648200. Its totient is φ = 812001024.

The previous prime is 838225397. The next prime is 838225429. The reversal of 838225417 is 714522838.

It is a happy number.

838225417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 327646201 + 510579216 = 18101^2 + 22596^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-838225417 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 838225417.

It is not an unprimeable number, because it can be changed into a prime (838225457) 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, 40992 + ... + 57937.

It is an arithmetic number, because the mean of its divisors is an integer number (108081025).

Almost surely, 2838225417 is an apocalyptic number.

It is an amenable number.

838225417 is a deficient number, since it is larger than the sum of its proper divisors (26422783).

838225417 is a wasteful number, since it uses less digits than its factorization.

838225417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99195.

The product of its digits is 107520, while the sum is 40.

The square root of 838225417 is about 28952.1228409939. The cubic root of 838225417 is about 942.8738879695.

The spelling of 838225417 in words is "eight hundred thirty-eight million, two hundred twenty-five thousand, four hundred seventeen".

Divisors: 1 37 229 8473 98929 3660373 22654741 838225417