Search a number
-
+
150223024 = 247331883
BaseRepresentation
bin10001111010000…
…11100010110000
3101110200010020201
420331003202300
5301424114044
622523444544
73502606000
oct1075034260
9343603221
10150223024
1177884866
1242386754
1325179583
1415d46000
15d2c57d4
hex8f438b0

150223024 has 80 divisors (see below), whose sum is σ = 350771200. Its totient is φ = 62233920.

The previous prime is 150223019. The next prime is 150223039. The reversal of 150223024 is 420322051.

It is a junction number, because it is equal to n+sod(n) for n = 150222992 and 150223010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169687 + ... + 170569.

It is an arithmetic number, because the mean of its divisors is an integer number (4384640).

Almost surely, 2150223024 is an apocalyptic number.

150223024 is a gapful number since it is divisible by the number (14) 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 150223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175385600).

150223024 is an abundant number, since it is smaller than the sum of its proper divisors (200548176).

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

150223024 is an equidigital number, since it uses as much as digits as its factorization.

150223024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 150223024 is about 12256.5502487445. The cubic root of 150223024 is about 531.5924857059.

Adding to 150223024 its reverse (420322051), we get a palindrome (570545075).

The spelling of 150223024 in words is "one hundred fifty million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 343 392 434 496 686 784 868 883 1372 1519 1736 1766 2744 3038 3472 3532 5488 6076 6181 7064 10633 12152 12362 14128 21266 24304 24724 27373 42532 43267 49448 54746 85064 86534 98896 109492 170128 173068 191611 218984 302869 346136 383222 437968 605738 692272 766444 1211476 1341277 1532888 2422952 2682554 3065776 4845904 5365108 9388939 10730216 18777878 21460432 37555756 75111512 150223024