Search a number
-
+
150110220 = 223513223863
BaseRepresentation
bin10001111001010…
…00000000001100
3101110110101111210
420330220000030
5301412011340
622521214420
73501626061
oct1074500014
9343411453
10150110220
1177808037
1242331410
132513a120
1415d16c68
15d2a2180
hex8f2800c

150110220 has 96 divisors (see below), whose sum is σ = 455196672. Its totient is φ = 36741888.

The previous prime is 150110209. The next prime is 150110237. The reversal of 150110220 is 22011051.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 150110196 and 150110205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173509 + ... + 174371.

It is an arithmetic number, because the mean of its divisors is an integer number (4741632).

Almost surely, 2150110220 is an apocalyptic number.

150110220 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 150110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227598336).

150110220 is an abundant number, since it is smaller than the sum of its proper divisors (305086452).

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

150110220 is a wasteful number, since it uses less digits than its factorization.

150110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 150110220 is about 12251.9476002797. The cubic root of 150110220 is about 531.4593929814.

Adding to 150110220 its reverse (22011051), we get a palindrome (172121271).

The spelling of 150110220 in words is "one hundred fifty million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 223 260 390 446 669 780 863 892 1115 1338 1726 2230 2589 2676 2899 3345 3452 4315 4460 5178 5798 6690 8630 8697 10356 11219 11596 12945 13380 14495 17260 17394 22438 25890 28990 33657 34788 43485 44876 51780 56095 57980 67314 86970 112190 134628 168285 173940 192449 224380 336570 384898 577347 673140 769796 962245 1154694 1924490 2309388 2501837 2886735 3848980 5003674 5773470 7505511 10007348 11546940 12509185 15011022 25018370 30022044 37527555 50036740 75055110 150110220