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2222122020 = 22351714711481
BaseRepresentation
bin1000010001110010…
…1110010000100100
312201212022111100120
42010130232100210
514022330401040
61004255441540
7106031503566
oct20434562044
95655274316
102222122020
11a4036a188
125202262b0
132954a8901
14171199336
15d013b7d0
hex8472e424

2222122020 has 96 divisors (see below), whose sum is σ = 6596868096. Its totient is φ = 556953600.

The previous prime is 2222121997. The next prime is 2222122027. The reversal of 2222122020 is 202212222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2222122027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499680 + ... + 1501160.

It is an arithmetic number, because the mean of its divisors is an integer number (68717376).

Almost surely, 22222122020 is an apocalyptic number.

2222122020 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 2222122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298434048).

2222122020 is an abundant number, since it is smaller than the sum of its proper divisors (4374746076).

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

2222122020 is a wasteful number, since it uses less digits than its factorization.

2222122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2222122020 is about 47139.3892620598. The cubic root of 2222122020 is about 1304.9362661729.

Adding to 2222122020 its reverse (202212222), we get a palindrome (2424334242).

The spelling of 2222122020 in words is "two billion, two hundred twenty-two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1471 1481 2942 2962 4413 4443 5884 5924 7355 7405 8826 8886 14710 14810 17652 17772 22065 22215 25007 25177 29420 29620 44130 44430 50014 50354 75021 75531 88260 88860 100028 100708 125035 125885 150042 151062 250070 251770 300084 302124 375105 377655 500140 503540 750210 755310 1500420 1510620 2178551 4357102 6535653 8714204 10892755 13071306 21785510 26142612 32678265 37035367 43571020 65356530 74070734 111106101 130713060 148141468 185176835 222212202 370353670 444424404 555530505 740707340 1111061010 2222122020