Search a number
-
+
2122203100 = 2252192348563
BaseRepresentation
bin111111001111110…
…0011111111011100
312110220022002100211
41332133203333130
513321240444400
6550330102204
7103406300023
oct17637437734
95426262324
102122203100
11999a23666
124b287a964
1327a892ca4
14161bc98ba
15c64a0dba
hex7e7e3fdc

2122203100 has 72 divisors (see below), whose sum is σ = 5058426240. Its totient is φ = 769222080.

The previous prime is 2122203089. The next prime is 2122203121. The reversal of 2122203100 is 13022212.

It is a super-2 number, since 2×21222031002 = 9007491995299220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19419 + ... + 67981.

It is an arithmetic number, because the mean of its divisors is an integer number (70255920).

Almost surely, 22122203100 is an apocalyptic number.

2122203100 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 2122203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529213120).

2122203100 is an abundant number, since it is smaller than the sum of its proper divisors (2936223140).

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

2122203100 is a wasteful number, since it uses less digits than its factorization.

2122203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48619 (or 48612 counting only the distinct ones).

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

The square root of 2122203100 is about 46067.3756578340. The cubic root of 2122203100 is about 1285.0764992535.

Adding to 2122203100 its reverse (13022212), we get a palindrome (2135225312).

The spelling of 2122203100 in words is "two billion, one hundred twenty-two million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 475 575 874 950 1150 1748 1900 2185 2300 4370 8740 10925 21850 43700 48563 97126 194252 242815 485630 922697 971260 1116949 1214075 1845394 2233898 2428150 3690788 4467796 4613485 4856300 5584745 9226970 11169490 18453940 21222031 22338980 23067425 27923725 42444062 46134850 55847450 84888124 92269700 106110155 111694900 212220310 424440620 530550775 1061101550 2122203100