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2220102100 = 225261336217
BaseRepresentation
bin1000010001010100…
…0001000111010100
312201201111212112201
42010111001013110
514021321231400
61004144254244
7106005361606
oct20425010724
95651455481
102220102100
11a3a20a627
1251b611384
13294c4c3a8
14170bd1176
15ced8d06a
hex845411d4

2220102100 has 36 divisors (see below), whose sum is σ = 4825613884. Its totient is φ = 886567680.

The previous prime is 2220102089. The next prime is 2220102127. The reversal of 2220102100 is 12010222.

It can be written as a sum of positive squares in 6 ways, for example, as 972317124 + 1247784976 = 31182^2 + 35324^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 43192 + ... + 79408.

Almost surely, 22220102100 is an apocalyptic number.

2220102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220102100 is an abundant number, since it is smaller than the sum of its proper divisors (2605511784).

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

2220102100 is a wasteful number, since it uses less digits than its factorization.

2220102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36844 (or 36837 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2220102100 is about 47117.9594210106. The cubic root of 2220102100 is about 1304.5407484479.

Adding to 2220102100 its reverse (12010222), we get a palindrome (2232112322).

The spelling of 2220102100 in words is "two billion, two hundred twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 613 1226 2452 3065 6130 12260 15325 30650 36217 61300 72434 144868 181085 362170 724340 905425 1810850 3621700 22201021 44402042 88804084 111005105 222010210 444020420 555025525 1110051050 2220102100