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22241180 = 22513131653
BaseRepresentation
bin101010011010…
…1111110011100
31112211222011102
41110311332130
521143204210
62112412232
7360022043
oct124657634
945758142
1022241180
1111611145
127547078
1347b9580
142d4d55a
151e44ea5
hex1535f9c

22241180 has 48 divisors (see below), whose sum is σ = 50760864. Its totient is φ = 8136960.

The previous prime is 22241179. The next prime is 22241183. The reversal of 22241180 is 8114222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22241183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33734 + ... + 34386.

It is an arithmetic number, because the mean of its divisors is an integer number (1057518).

Almost surely, 222241180 is an apocalyptic number.

22241180 is a gapful number since it is divisible by the number (20) 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 22241180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25380432).

22241180 is an abundant number, since it is smaller than the sum of its proper divisors (28519684).

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

22241180 is a wasteful number, since it uses less digits than its factorization.

22241180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 22241180 is about 4716.0555552283. The cubic root of 22241180 is about 281.2241470887.

The spelling of 22241180 in words is "twenty-two million, two hundred forty-one thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 131 260 262 524 653 655 1306 1310 1703 2612 2620 3265 3406 6530 6812 8489 8515 13060 16978 17030 33956 34060 42445 84890 85543 169780 171086 342172 427715 855430 1112059 1710860 2224118 4448236 5560295 11120590 22241180