Search a number
-
+
2100012222 = 237116767843
BaseRepresentation
bin111110100101011…
…1010010010111110
312102100112200012110
41331022322102332
513300100342342
6544214314450
7103016544420
oct17512722276
95370480173
102100012222
119884472a0
124a7358a26
132760c35a9
1415cc90810
15c456ac9c
hex7d2ba4be

2100012222 has 64 divisors (see below), whose sum is σ = 5314627584. Its totient is φ = 537308640.

The previous prime is 2100012197. The next prime is 2100012247. The reversal of 2100012222 is 2222100012.

It is an interprime number because it is at equal distance from previous prime (2100012197) and next prime (2100012247).

It is a junction number, because it is equal to n+sod(n) for n = 2100012198 and 2100012207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2968 + ... + 64875.

It is an arithmetic number, because the mean of its divisors is an integer number (83041056).

Almost surely, 22100012222 is an apocalyptic number.

2100012222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657313792).

2100012222 is an abundant number, since it is smaller than the sum of its proper divisors (3214615362).

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

2100012222 is a wasteful number, since it uses less digits than its factorization.

2100012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67933.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2100012222 is about 45825.8903023171. The cubic root of 2100012222 is about 1280.5816493063.

Adding to 2100012222 its reverse (2222100012), we get a palindrome (4322112234).

It can be divided in two parts, 2100012 and 222, that multiplied together give a palindrome (466202664).

The spelling of 2100012222 in words is "two billion, one hundred million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 67 77 134 154 201 231 402 462 469 737 938 1407 1474 2211 2814 4422 5159 10318 15477 30954 67843 135686 203529 407058 474901 746273 949802 1424703 1492546 2238819 2849406 4477638 4545481 5223911 9090962 10447822 13636443 15671733 27272886 31343466 31818367 50000291 63636734 95455101 100000582 150000873 190910202 300001746 350002037 700004074 1050006111 2100012222