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152200305 = 3253382229
BaseRepresentation
bin10010001001001…
…10010001110001
3101121101120120100
421010212101301
5302430402210
623034103013
73525452445
oct1104462161
9347346510
10152200305
1178a05384
1242b7aa69
13256bc56a
14162dc825
15d5665c0
hex9126471

152200305 has 12 divisors (see below), whose sum is σ = 263813940. Its totient is φ = 81173472.

The previous prime is 152200271. The next prime is 152200327. The reversal of 152200305 is 503002251.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 56610576 + 95589729 = 7524^2 + 9777^2 .

It is not a de Polignac number, because 152200305 - 211 = 152198257 is a prime.

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, 1691070 + ... + 1691159.

It is an arithmetic number, because the mean of its divisors is an integer number (21984495).

Almost surely, 2152200305 is an apocalyptic number.

152200305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152200305 is a deficient number, since it is larger than the sum of its proper divisors (111613635).

152200305 is a wasteful number, since it uses less digits than its factorization.

152200305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382240 (or 3382237 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 152200305 is about 12336.9487718803. The cubic root of 152200305 is about 533.9146541212.

Adding to 152200305 its reverse (503002251), we get a palindrome (655202556).

The spelling of 152200305 in words is "one hundred fifty-two million, two hundred thousand, three hundred five".

Divisors: 1 3 5 9 15 45 3382229 10146687 16911145 30440061 50733435 152200305