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2226150 = 233521797
BaseRepresentation
bin1000011111011111100110
311012002201000
420133133212
51032214100
6115414130
724631143
oct10373746
94162630
102226150
1112905a3
128b4346
135cc364
1441d3ca
152de900
hex21f7e6

2226150 has 96 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 552960.

The previous prime is 2226149. The next prime is 2226151. The reversal of 2226150 is 516222.

It is an interprime number because it is at equal distance from previous prime (2226149) and next prime (2226151).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22902 + ... + 22998.

It is an arithmetic number, because the mean of its divisors is an integer number (68355).

22226150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281040).

2226150 is an abundant number, since it is smaller than the sum of its proper divisors (4335930).

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

2226150 is a wasteful number, since it uses less digits than its factorization.

2226150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2226150 is about 1492.0288200970. The cubic root of 2226150 is about 130.5724264367.

The spelling of 2226150 in words is "two million, two hundred twenty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 85 90 97 102 135 150 153 170 194 225 255 270 291 306 425 450 459 485 510 582 675 765 850 873 918 970 1275 1350 1455 1530 1649 1746 2295 2425 2550 2619 2910 3298 3825 4365 4590 4850 4947 5238 7275 7650 8245 8730 9894 11475 13095 14550 14841 16490 21825 22950 24735 26190 29682 41225 43650 44523 49470 65475 74205 82450 89046 123675 130950 148410 222615 247350 371025 445230 742050 1113075 2226150