Base | Representation |
---|---|
bin | 10010001001010… |
… | …11000010100000 |
3 | 101121102120022200 |
4 | 21010223002200 |
5 | 302432013213 |
6 | 23034333200 |
7 | 3525563346 |
oct | 1104530240 |
9 | 347376280 |
10 | 152219808 |
11 | 78a18aa4 |
12 | 42b8a200 |
13 | 256c83c0 |
14 | 16305996 |
15 | d56c273 |
hex | 912b0a0 |
152219808 has 144 divisors (see below), whose sum is σ = 471711240. Its totient is φ = 46282752.
The previous prime is 152219801. The next prime is 152219843. The reversal of 152219808 is 808912251.
152219808 is digitally balanced in base 3, 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 121616784 + 30603024 = 11028^2 + 5532^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (152219801) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407910 + ... + 408282.
Almost surely, 2152219808 is an apocalyptic number.
152219808 is a gapful number since it is divisible by the number (18) 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 152219808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235855620).
152219808 is an abundant number, since it is smaller than the sum of its proper divisors (319491432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152219808 is a wasteful number, since it uses less digits than its factorization.
152219808 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 511 (or 500 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 36.
The square root of 152219808 is about 12337.7391770129. The cubic root of 152219808 is about 533.9374584837.
The spelling of 152219808 in words is "one hundred fifty-two million, two hundred nineteen thousand, eight hundred eight".
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