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150232000 = 265389211
BaseRepresentation
bin10001111010001…
…01101111000000
3101110200120120011
420331011233000
5301424411000
622523554304
73502644112
oct1075055700
9343616504
10150232000
1177890586
124238b994
1325180699
1415d493b2
15d2c82ba
hex8f45bc0

150232000 has 112 divisors (see below), whose sum is σ = 378012960. Its totient is φ = 59136000.

The previous prime is 150231947. The next prime is 150232001. The reversal of 150232000 is 232051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150232001) 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 15 ways as a sum of consecutive naturals, for example, 711895 + ... + 712105.

Almost surely, 2150232000 is an apocalyptic number.

150232000 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 150232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189006480).

150232000 is an abundant number, since it is smaller than the sum of its proper divisors (227780960).

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

150232000 is an equidigital number, since it uses as much as digits as its factorization.

150232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 150232000 is about 12256.9164148247. The cubic root of 150232000 is about 531.6030732510.

Adding to 150232000 its reverse (232051), we get a palindrome (150464051).

The spelling of 150232000 in words is "one hundred fifty million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 125 160 178 200 211 250 320 356 400 422 445 500 712 800 844 890 1000 1055 1424 1600 1688 1780 2000 2110 2225 2848 3376 3560 4000 4220 4450 5275 5696 6752 7120 8000 8440 8900 10550 11125 13504 14240 16880 17800 18779 21100 22250 26375 28480 33760 35600 37558 42200 44500 52750 67520 71200 75116 84400 89000 93895 105500 142400 150232 168800 178000 187790 211000 300464 337600 356000 375580 422000 469475 600928 712000 751160 844000 938950 1201856 1502320 1688000 1877900 2347375 3004640 3755800 4694750 6009280 7511600 9389500 15023200 18779000 30046400 37558000 75116000 150232000