Search a number
-
+
2200706100 = 2232521728461
BaseRepresentation
bin1000001100101100…
…0001110000110100
312200101000110020100
42003023001300310
514001340043400
61002212434100
7105351456525
oct20313016064
95611013210
102200706100
11a2a27207a
12515018930
13290c1ab78
1416c3c284c
15cd30b100
hex832c1c34

2200706100 has 162 divisors, whose sum is σ = 7328489714. Its totient is φ = 552268800.

The previous prime is 2200706087. The next prime is 2200706113. The reversal of 2200706100 is 16070022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2200706087) and next prime (2200706113).

It can be written as a sum of positive squares in 9 ways, for example, as 6533136 + 2194172964 = 2556^2 + 46842^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 255870 + ... + 264330.

Almost surely, 22200706100 is an apocalyptic number.

2200706100 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 2200706100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664244857).

2200706100 is an abundant number, since it is smaller than the sum of its proper divisors (5127783614).

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

2200706100 is a wasteful number, since it uses less digits than its factorization.

2200706100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8515 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2200706100 is about 46911.6840456618. The cubic root of 2200706100 is about 1300.7305755467.

Adding to 2200706100 its reverse (16070022), we get a palindrome (2216776122).

The spelling of 2200706100 in words is "two billion, two hundred million, seven hundred six thousand, one hundred".