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2220020100 = 2232523596871
BaseRepresentation
bin1000010001010010…
…1101000110000100
312201201100201001200
42010110231012010
514021311120400
61004142422500
7106004600544
oct20424550604
95651321050
102220020100
11a3a163a61
1251b591a30
13294c20c7c
14170bad324
15ced73b00
hex8452d184

2220020100 has 108 divisors (see below), whose sum is σ = 6978928320. Its totient is φ = 590270400.

The previous prime is 2220020003. The next prime is 2220020107. The reversal of 2220020100 is 10200222.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2220020107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 319665 + ... + 326535.

Almost surely, 22220020100 is an apocalyptic number.

2220020100 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 2220020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489464160).

2220020100 is an abundant number, since it is smaller than the sum of its proper divisors (4758908220).

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

2220020100 is a wasteful number, since it uses less digits than its factorization.

2220020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7250 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2220020100 is about 47117.0892564471. The cubic root of 2220020100 is about 1304.5246870757.

Adding to 2220020100 its reverse (10200222), we get a palindrome (2230220322).

The spelling of 2220020100 in words is "two billion, two hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 359 450 718 900 1077 1436 1795 2154 3231 3590 4308 5385 6462 6871 7180 8975 10770 12924 13742 16155 17950 20613 21540 26925 27484 32310 34355 35900 41226 53850 61839 64620 68710 80775 82452 103065 107700 123678 137420 161550 171775 206130 247356 309195 323100 343550 412260 515325 618390 687100 1030650 1236780 1545975 2061300 2466689 3091950 4933378 6183900 7400067 9866756 12333445 14800134 22200201 24666890 29600268 37000335 44400402 49333780 61667225 74000670 88800804 111001005 123334450 148001340 185001675 222002010 246668900 370003350 444004020 555005025 740006700 1110010050 2220020100