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150300225 = 33521072081
BaseRepresentation
bin10001111010101…
…10011001000001
3101110211001011000
420331112121001
5301434101400
622525242213
73503350035
oct1075263101
9343731130
10150300225
1177927869
1242403369
13251a575a
1415d661c5
15d2dd600
hex8f56641

150300225 has 48 divisors (see below), whose sum is σ = 278821440. Its totient is φ = 79372800.

The previous prime is 150300223. The next prime is 150300259. The reversal of 150300225 is 522003051.

It is a happy number.

It is not a de Polignac number, because 150300225 - 21 = 150300223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 150300198 and 150300207.

It is not an unprimeable number, because it can be changed into a prime (150300223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71185 + ... + 73265.

It is an arithmetic number, because the mean of its divisors is an integer number (5808780).

Almost surely, 2150300225 is an apocalyptic number.

150300225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

150300225 is a deficient number, since it is larger than the sum of its proper divisors (128521215).

150300225 is a wasteful number, since it uses less digits than its factorization.

150300225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2196 counting only the distinct ones).

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

The square root of 150300225 is about 12259.6992214328. The cubic root of 150300225 is about 531.6835335409.

Adding to 150300225 its reverse (522003051), we get a palindrome (672303276).

The spelling of 150300225 in words is "one hundred fifty million, three hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 107 135 225 321 535 675 963 1605 2081 2675 2889 4815 6243 8025 10405 14445 18729 24075 31215 52025 56187 72225 93645 156075 222667 280935 468225 668001 1113335 1404675 2004003 3340005 5566675 6012009 10020015 16700025 30060045 50100075 150300225