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2243221020 = 223357435591
BaseRepresentation
bin1000010110110100…
…1101011000011100
312210100000102202000
42011231031120130
514043231033040
61010332002300
7106406030655
oct20555153034
95710012660
102243221020
11a51270177
12527300390
13299985321
14173ccc52c
15d1e08130
hex85b4d61c

2243221020 has 96 divisors (see below), whose sum is σ = 6989552640. Its totient is φ = 597280320.

The previous prime is 2243221007. The next prime is 2243221061. The reversal of 2243221020 is 201223422.

2243221020 is a `hidden beast` number, since 2 + 2 + 432 + 210 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2243220984 and 2243221002.

It is a congruent number.

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, 398425 + ... + 404015.

It is an arithmetic number, because the mean of its divisors is an integer number (72807840).

Almost surely, 22243221020 is an apocalyptic number.

2243221020 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 2243221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494776320).

2243221020 is an abundant number, since it is smaller than the sum of its proper divisors (4746331620).

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

2243221020 is a wasteful number, since it uses less digits than its factorization.

2243221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2243221020 is about 47362.6542752832. The cubic root of 2243221020 is about 1309.0533766859.

Adding to 2243221020 its reverse (201223422), we get a palindrome (2444444442).

The spelling of 2243221020 in words is "two billion, two hundred forty-three million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 743 1486 2229 2972 3715 4458 5591 6687 7430 8916 11145 11182 13374 14860 16773 20061 22290 22364 26748 27955 33435 33546 40122 44580 50319 55910 66870 67092 80244 83865 100305 100638 111820 133740 150957 167730 200610 201276 251595 301914 335460 401220 503190 603828 754785 1006380 1509570 3019140 4154113 8308226 12462339 16616452 20770565 24924678 37387017 41541130 49849356 62311695 74774034 83082260 112161051 124623390 149548068 186935085 224322102 249246780 373870170 448644204 560805255 747740340 1121610510 2243221020