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150223050 = 232521773269
BaseRepresentation
bin10001111010000…
…11100011001010
3101110200010021200
420331003203022
5301424114200
622523445030
73502606035
oct1075034312
9343603250
10150223050
117788488a
1242386776
13251795a3
1415d4601c
15d2c5800
hex8f438ca

150223050 has 144 divisors (see below), whose sum is σ = 434804760. Its totient is φ = 37048320.

The previous prime is 150223049. The next prime is 150223061. The reversal of 150223050 is 50322051.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4272489 + 145950561 = 2067^2 + 12081^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 558316 + ... + 558584.

Almost surely, 2150223050 is an apocalyptic number.

150223050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150223050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217402380).

150223050 is an abundant number, since it is smaller than the sum of its proper divisors (284581710).

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

150223050 is a wasteful number, since it uses less digits than its factorization.

150223050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

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

The square root of 150223050 is about 12256.5513094018. The cubic root of 150223050 is about 531.5925163746.

Subtracting from 150223050 its reverse (50322051), we obtain a palindrome (99900999).

The spelling of 150223050 in words is "one hundred fifty million, two hundred twenty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 73 75 85 90 102 146 150 153 170 219 225 255 269 306 365 425 438 450 510 538 657 730 765 807 850 1095 1241 1275 1314 1345 1530 1614 1825 2190 2421 2482 2550 2690 3285 3650 3723 3825 4035 4573 4842 5475 6205 6570 6725 7446 7650 8070 9146 10950 11169 12105 12410 13450 13719 16425 18615 19637 20175 22338 22865 24210 27438 31025 32850 37230 39274 40350 41157 45730 55845 58911 60525 62050 68595 82314 93075 98185 111690 114325 117822 121050 137190 176733 186150 196370 205785 228650 279225 294555 333829 342975 353466 411570 490925 558450 589110 667658 685950 883665 981850 1001487 1028925 1472775 1669145 1767330 2002974 2057850 2945550 3004461 3338290 4418325 5007435 6008922 8345725 8836650 10014870 15022305 16691450 25037175 30044610 50074350 75111525 150223050