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2223010100 = 2252171578329
BaseRepresentation
bin1000010010000000…
…0111000100110100
312201220222121120102
42010200013010310
514023042310400
61004330453232
7106042163003
oct20440070464
95656877512
102223010100
11a40916433
12520594218
13295729bbc
1417134ac3a
15d02649d5
hex84807134

2223010100 has 72 divisors (see below), whose sum is σ = 5140842840. Its totient is φ = 831467520.

The previous prime is 2223010081. The next prime is 2223010103. The reversal of 2223010100 is 10103222.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 938074384 + 1284935716 = 30628^2 + 35846^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223010103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262736 + ... + 271064.

It is an arithmetic number, because the mean of its divisors is an integer number (71400595).

Almost surely, 22223010100 is an apocalyptic number.

2223010100 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 2223010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570421420).

2223010100 is an abundant number, since it is smaller than the sum of its proper divisors (2917832740).

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

2223010100 is a wasteful number, since it uses less digits than its factorization.

2223010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8517 (or 8510 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2223010100 is about 47148.8080443186. The cubic root of 2223010100 is about 1305.1100840279.

Adding to 2223010100 its reverse (10103222), we get a palindrome (2233113322).

The spelling of 2223010100 in words is "two billion, two hundred twenty-three million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 157 170 314 340 425 628 785 850 1570 1700 2669 3140 3925 5338 7850 8329 10676 13345 15700 16658 26690 33316 41645 53380 66725 83290 133450 141593 166580 208225 266900 283186 416450 566372 707965 832900 1307653 1415930 2615306 2831860 3539825 5230612 6538265 7079650 13076530 14159300 22230101 26153060 32691325 44460202 65382650 88920404 111150505 130765300 222301010 444602020 555752525 1111505050 2223010100