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2244012100 = 2252111925651
BaseRepresentation
bin1000010111000000…
…1110100001000100
312210101111121220021
42011300032201010
514043431341400
61010400544524
7106415534221
oct20560164104
95711447807
102244012100
11a51760560
12527622144
13299ba1415
14174056948
15d201271a
hex85c0e844

2244012100 has 108 divisors (see below), whose sum is σ = 5607484848. Its totient is φ = 772920000.

The previous prime is 2244012073. The next prime is 2244012107. The reversal of 2244012100 is 12104422.

It is not an unprimeable number, because it can be changed into a prime (2244012107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 394275 + ... + 399925.

It is an arithmetic number, because the mean of its divisors is an integer number (51921156).

Almost surely, 22244012100 is an apocalyptic number.

2244012100 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 2244012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803742424).

2244012100 is an abundant number, since it is smaller than the sum of its proper divisors (3363472748).

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

2244012100 is a wasteful number, since it uses less digits than its factorization.

2244012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5714 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2244012100 is about 47371.0048447360. The cubic root of 2244012100 is about 1309.2072394021.

Adding to 2244012100 its reverse (12104422), we get a palindrome (2256116522).

The spelling of 2244012100 in words is "two billion, two hundred forty-four million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 361 380 418 475 550 722 836 950 1045 1100 1444 1805 1900 2090 3610 3971 4180 5225 5651 7220 7942 9025 10450 11302 15884 18050 19855 20900 22604 28255 36100 39710 56510 62161 79420 99275 107369 113020 124322 141275 198550 214738 248644 282550 310805 397100 429476 536845 565100 621610 1073690 1181059 1243220 1554025 2040011 2147380 2362118 2684225 3108050 4080022 4724236 5368450 5905295 6216100 8160044 10200055 10736900 11810590 20400110 22440121 23621180 29526475 40800220 44880242 51000275 59052950 89760484 102000550 112200605 118105900 204001100 224401210 448802420 561003025 1122006050 2244012100