Search a number
-
+
2122222100 = 22521910111059
BaseRepresentation
bin111111001111110…
…1000101000010100
312110220100001102112
41332133220220110
513321242101400
6550330330152
7103406406305
oct17637505024
95426301375
102122222100
11999a36969
124b2889958
1327a89b82b
14161bd27ac
15c64a6835
hex7e7e8a14

2122222100 has 72 divisors (see below), whose sum is σ = 4896040800. Its totient is φ = 796176000.

The previous prime is 2122222099. The next prime is 2122222127. The reversal of 2122222100 is 12222212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186371 + ... + 197429.

Almost surely, 22122222100 is an apocalyptic number.

2122222100 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 2122222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448020400).

2122222100 is an abundant number, since it is smaller than the sum of its proper divisors (2773818700).

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

2122222100 is a wasteful number, since it uses less digits than its factorization.

2122222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11193 (or 11186 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2122222100 is about 46067.5818770640. The cubic root of 2122222100 is about 1285.0803343217.

Adding to 2122222100 its reverse (12222212), we get a palindrome (2134444312).

The spelling of 2122222100 in words is "two billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 101 190 202 380 404 475 505 950 1010 1900 1919 2020 2525 3838 5050 7676 9595 10100 11059 19190 22118 38380 44236 47975 55295 95950 110590 191900 210121 221180 276475 420242 552950 840484 1050605 1105900 1116959 2101210 2233918 4202420 4467836 5253025 5584795 10506050 11169590 21012100 21222221 22339180 27923975 42444442 55847950 84888884 106111105 111695900 212222210 424444420 530555525 1061111050 2122222100