Search a number
-
+
408222150 = 235271392797
BaseRepresentation
bin11000010101001…
…111100111000110
31001110010211111220
4120111033213012
51314001102100
6104301341210
713054555020
oct3025174706
91043124456
10408222150
1119a481386
12b4867806
136675cb8b
143c305010
1525c89aa0
hex1854f9c6

408222150 has 96 divisors (see below), whose sum is σ = 1165758720. Its totient is φ = 92603520.

The previous prime is 408222127. The next prime is 408222179. The reversal of 408222150 is 51222804.

It is a self number, because there is not a number n which added to its sum of digits gives 408222150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144552 + ... + 147348.

It is an arithmetic number, because the mean of its divisors is an integer number (12143320).

Almost surely, 2408222150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408222150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582879360).

408222150 is an abundant number, since it is smaller than the sum of its proper divisors (757536570).

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

408222150 is a wasteful number, since it uses less digits than its factorization.

408222150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 408222150 is about 20204.5081603092. The cubic root of 408222150 is about 741.8205417941.

Adding to 408222150 its reverse (51222804), we get a palindrome (459444954).

The spelling of 408222150 in words is "four hundred eight million, two hundred twenty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 139 150 175 210 278 350 417 525 695 834 973 1050 1390 1946 2085 2797 2919 3475 4170 4865 5594 5838 6950 8391 9730 10425 13985 14595 16782 19579 20850 24325 27970 29190 39158 41955 48650 58737 69925 72975 83910 97895 117474 139850 145950 195790 209775 293685 388783 419550 489475 587370 777566 978950 1166349 1468425 1943915 2332698 2721481 2936850 3887830 5442962 5831745 8164443 9719575 11663490 13607405 16328886 19439150 27214810 29158725 40822215 58317450 68037025 81644430 136074050 204111075 408222150