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150338232 = 233211832287
BaseRepresentation
bin10001111010111…
…11101010111000
3101110212222021200
420331133222320
5301441310412
622530134200
73503565612
oct1075375270
9343788250
10150338232
1177953380
1242421360
13251b9b45
1415d75db2
15d2e99dc
hex8f5fab8

150338232 has 96 divisors (see below), whose sum is σ = 449729280. Its totient is φ = 44988480.

The previous prime is 150338219. The next prime is 150338239. The reversal of 150338232 is 232833051.

It is a junction number, because it is equal to n+sod(n) for n = 150338196 and 150338205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150338239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64593 + ... + 66879.

It is an arithmetic number, because the mean of its divisors is an integer number (4684680).

Almost surely, 2150338232 is an apocalyptic number.

150338232 is a gapful number since it is divisible by the number (12) 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 150338232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224864640).

150338232 is an abundant number, since it is smaller than the sum of its proper divisors (299391048).

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

150338232 is a wasteful number, since it uses less digits than its factorization.

150338232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 150338232 is about 12261.2492022632. The cubic root of 150338232 is about 531.7283460553.

The spelling of 150338232 in words is "one hundred fifty million, three hundred thirty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 132 166 198 249 264 332 396 498 664 747 792 913 996 1494 1826 1992 2287 2739 2988 3652 4574 5478 5976 6861 7304 8217 9148 10956 13722 16434 18296 20583 21912 25157 27444 32868 41166 50314 54888 65736 75471 82332 100628 150942 164664 189821 201256 226413 301884 379642 452826 569463 603768 759284 905652 1138926 1518568 1708389 1811304 2088031 2277852 3416778 4176062 4555704 6264093 6833556 8352124 12528186 13667112 16704248 18792279 25056372 37584558 50112744 75169116 150338232