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2022145500 = 223533143487
BaseRepresentation
bin111100010000111…
…0111110111011100
312012221000122010210
41320201313313130
513120132124000
6532353332420
7101052644634
oct17041676734
95187018123
102022145500
119484a2931
12485267110
13262c2c1cb
141527c16c4
15bc7d9350
hex78877ddc

2022145500 has 96 divisors (see below), whose sum is σ = 6078578688. Its totient is φ = 521832000.

The previous prime is 2022145481. The next prime is 2022145501. The reversal of 2022145500 is 55412202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022145501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24757 + ... + 68243.

It is an arithmetic number, because the mean of its divisors is an integer number (63318528).

Almost surely, 22022145500 is an apocalyptic number.

2022145500 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 2022145500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039289344).

2022145500 is an abundant number, since it is smaller than the sum of its proper divisors (4056433188).

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

2022145500 is a wasteful number, since it uses less digits than its factorization.

2022145500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43540 (or 43528 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2022145500 is about 44968.2721482603. The cubic root of 2022145500 is about 1264.5542545713.

Adding to 2022145500 its reverse (55412202), we get a palindrome (2077557702).

The spelling of 2022145500 in words is "two billion, twenty-two million, one hundred forty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 125 150 155 186 250 300 310 372 375 465 500 620 750 775 930 1500 1550 1860 2325 3100 3875 4650 7750 9300 11625 15500 23250 43487 46500 86974 130461 173948 217435 260922 434870 521844 652305 869740 1087175 1304610 1348097 2174350 2609220 2696194 3261525 4044291 4348700 5392388 5435875 6523050 6740485 8088582 10871750 13046100 13480970 16177164 16307625 20221455 21743500 26961940 32615250 33702425 40442910 65230500 67404850 80885820 101107275 134809700 168512125 202214550 337024250 404429100 505536375 674048500 1011072750 2022145500