Search a number
-
+
150197190 = 2351113157223
BaseRepresentation
bin10001111001111…
…01001111000110
3101110121210210220
420330331033012
5301422302230
622523125210
73502440453
oct1074751706
9343553726
10150197190
1177867410
1242373806
132516a8a0
1415d3a82a
15d2bcd10
hex8f3d3c6

150197190 has 128 divisors (see below), whose sum is σ = 428101632. Its totient is φ = 33246720.

The previous prime is 150197149. The next prime is 150197191. The reversal of 150197190 is 91791051.

It is a happy number.

It is a super-2 number, since 2×1501971902 = 45118391767792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150197191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 673419 + ... + 673641.

It is an arithmetic number, because the mean of its divisors is an integer number (3344544).

Almost surely, 2150197190 is an apocalyptic number.

150197190 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 150197190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214050816).

150197190 is an abundant number, since it is smaller than the sum of its proper divisors (277904442).

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

150197190 is a wasteful number, since it uses less digits than its factorization.

150197190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414.

The product of its (nonzero) digits is 2835, while the sum is 33.

The square root of 150197190 is about 12255.4963179791. The cubic root of 150197190 is about 531.5620111328.

The spelling of 150197190 in words is "one hundred fifty million, one hundred ninety-seven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 157 165 195 223 286 314 330 390 429 446 471 669 715 785 858 942 1115 1338 1430 1570 1727 2041 2145 2230 2355 2453 2899 3345 3454 4082 4290 4710 4906 5181 5798 6123 6690 7359 8635 8697 10205 10362 12246 12265 14495 14718 17270 17394 20410 22451 24530 25905 28990 30615 31889 35011 36795 43485 44902 51810 61230 63778 67353 70022 73590 86970 95667 105033 112255 134706 159445 175055 191334 210066 224510 318890 336765 350110 385121 455143 478335 525165 673530 770242 910286 956670 1050330 1155363 1365429 1925605 2275715 2310726 2730858 3851210 4551430 5006573 5776815 6827145 10013146 11553630 13654290 15019719 25032865 30039438 50065730 75098595 150197190