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2220120100 = 22521121743251
BaseRepresentation
bin1000010001010100…
…0101100000100100
312201201112210020101
42010111011200210
514021322320400
61004144513444
7106005465232
oct20425054044
95651483211
102220120100
11a3a222100
1251b61b884
13294c57643
14170bd7952
15ced9356a
hex84545824

2220120100 has 216 divisors, whose sum is σ = 5760193824. Its totient is φ = 739200000.

The previous prime is 2220120073. The next prime is 2220120137. The reversal of 2220120100 is 10210222.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8844975 + ... + 8845225.

It is an arithmetic number, because the mean of its divisors is an integer number (26667564).

Almost surely, 22220120100 is an apocalyptic number.

2220120100 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 2220120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880096912).

2220120100 is an abundant number, since it is smaller than the sum of its proper divisors (3540073724).

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

2220120100 is a wasteful number, since it uses less digits than its factorization.

2220120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

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

The square root of 2220120100 is about 47118.1504305931. The cubic root of 2220120100 is about 1304.5442740620.

Adding to 2220120100 its reverse (10210222), we get a palindrome (2230330322).

The spelling of 2220120100 in words is "two billion, two hundred twenty million, one hundred twenty thousand, one hundred".