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2219920101 = 34729135007
BaseRepresentation
bin1000010001010001…
…0100101011100101
312201201011121220000
42010110110223211
514021244420401
61004140331513
7106004003160
oct20424245345
95651147800
102219920101
11a3a0a5913
1251b543b99
13294bb75b9
14170b84ad7
15ced54186
hex84514ae5

2219920101 has 40 divisors (see below), whose sum is σ = 3920632320. Its totient is φ = 1224774432.

The previous prime is 2219920093. The next prime is 2219920133. The reversal of 2219920101 is 1010299122.

It is not a de Polignac number, because 2219920101 - 23 = 2219920093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2219920201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51061 + ... + 83946.

It is an arithmetic number, because the mean of its divisors is an integer number (98015808).

Almost surely, 22219920101 is an apocalyptic number.

2219920101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2219920101 is a deficient number, since it is larger than the sum of its proper divisors (1700712219).

2219920101 is a wasteful number, since it uses less digits than its factorization.

2219920101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135055 (or 135046 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 2219920101 is about 47116.0280690128. The cubic root of 2219920101 is about 1304.5050996971.

The spelling of 2219920101 in words is "two billion, two hundred nineteen million, nine hundred twenty thousand, one hundred one".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 261 567 609 783 1827 2349 5481 16443 135007 405021 945049 1215063 2835147 3645189 3915203 8505441 10935567 11745609 25516323 27406421 35236827 76548969 82219263 105710481 246657789 317131443 739973367 2219920101