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2214444100 = 2252114346817
BaseRepresentation
bin1000001111111101…
…1011110001000100
312201022212102020011
42003333123301010
514013344202400
61003423120004
7105606315151
oct20377336104
95638772204
102214444100
11a36aa56a0
12519743004
13293a1ac6b
1417015b228
15ce6218ba
hex83fdbc44

2214444100 has 72 divisors (see below), whose sum is σ = 5364219168. Its totient is φ = 786508800.

The previous prime is 2214444083. The next prime is 2214444107. The reversal of 2214444100 is 14444122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2214444107) by changing a digit.

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, 23892 + ... + 70708.

It is an arithmetic number, because the mean of its divisors is an integer number (74503044).

Almost surely, 22214444100 is an apocalyptic number.

2214444100 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 2214444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682109584).

2214444100 is an abundant number, since it is smaller than the sum of its proper divisors (3149775068).

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

2214444100 is a wasteful number, since it uses less digits than its factorization.

2214444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46885 (or 46878 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2214444100 is about 47057.8803177534. The cubic root of 2214444100 is about 1303.4315846303.

Adding to 2214444100 its sum of digits (22), we get a palindrome (2214444122).

Adding to 2214444100 its reverse (14444122), we get a palindrome (2228888222).

The spelling of 2214444100 in words is "two billion, two hundred fourteen million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1892 2150 2365 4300 4730 9460 11825 23650 46817 47300 93634 187268 234085 468170 514987 936340 1029974 1170425 2013131 2059948 2340850 2574935 4026262 4681700 5149870 8052524 10065655 10299740 12874675 20131310 22144441 25749350 40262620 44288882 50328275 51498700 88577764 100656550 110722205 201313100 221444410 442888820 553611025 1107222050 2214444100