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150195200 = 210525867
BaseRepresentation
bin10001111001111…
…00110000000000
3101110121201002012
420330330300000
5301422221300
622523112052
73502431611
oct1074746000
9343551065
10150195200
1177865971
1242372628
13251699cc
1415d39c08
15d2bc435
hex8f3cc00

150195200 has 66 divisors (see below), whose sum is σ = 372365676. Its totient is φ = 60067840.

The previous prime is 150195161. The next prime is 150195203. The reversal of 150195200 is 2591051.

It is not an unprimeable number, because it can be changed into a prime (150195203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 22667 + ... + 28533.

Almost surely, 2150195200 is an apocalyptic number.

150195200 is a gapful number since it is divisible by the number (10) 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 150195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186182838).

150195200 is an abundant number, since it is smaller than the sum of its proper divisors (222170476).

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

150195200 is an equidigital number, since it uses as much as digits as its factorization.

150195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 150195200 is about 12255.4151296478. The cubic root of 150195200 is about 531.5596635233.

The spelling of 150195200 in words is "one hundred fifty million, one hundred ninety-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 5867 6400 11734 12800 23468 25600 29335 46936 58670 93872 117340 146675 187744 234680 293350 375488 469360 586700 750976 938720 1173400 1501952 1877440 2346800 3003904 3754880 4693600 6007808 7509760 9387200 15019520 18774400 30039040 37548800 75097600 150195200