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2212203100 = 2252103397541
BaseRepresentation
bin1000001111011011…
…1000101001011100
312201011122120011011
42003312320221130
514012310444400
61003303105004
7105551262502
oct20366705134
95634576134
102212203100
11a35804a28
12518a42164
13293414c23
1416db36672
15ce32c8ba
hex83db8a5c

2212203100 has 72 divisors (see below), whose sum is σ = 4868278688. Its totient is φ = 872467200.

The previous prime is 2212203061. The next prime is 2212203107. The reversal of 2212203100 is 13022122.

2212203100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22122031002 = 9787685111299220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212203107) 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, 4088830 + ... + 4089370.

Almost surely, 22212203100 is an apocalyptic number.

2212203100 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 2212203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434139344).

2212203100 is an abundant number, since it is smaller than the sum of its proper divisors (2656075588).

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

2212203100 is a wasteful number, since it uses less digits than its factorization.

2212203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2212203100 is about 47034.0631882894. The cubic root of 2212203100 is about 1302.9917487251.

Adding to 2212203100 its reverse (13022122), we get a palindrome (2225225222).

The spelling of 2212203100 in words is "two billion, two hundred twelve million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 397 412 515 541 794 1030 1082 1588 1985 2060 2164 2575 2705 3970 5150 5410 7940 9925 10300 10820 13525 19850 27050 39700 40891 54100 55723 81782 111446 163564 204455 214777 222892 278615 408910 429554 557230 817820 859108 1022275 1073885 1114460 1393075 2044550 2147770 2786150 4089100 4295540 5369425 5572300 10738850 21477700 22122031 44244062 88488124 110610155 221220310 442440620 553050775 1106101550 2212203100