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2230044100 = 2252612811301
BaseRepresentation
bin1000010011101011…
…1100010111000100
312202102012222101221
42010322330113010
514031342402400
61005141330124
7106156030204
oct20472742704
95672188357
102230044100
11a44890159
12522a06944
1329702072b
1417225c404
15d0ba3c1a
hex84ebc5c4

2230044100 has 72 divisors (see below), whose sum is σ = 4939824456. Its totient is φ = 873600000.

The previous prime is 2230044067. The next prime is 2230044101. The reversal of 2230044100 is 14400322.

It can be written as a sum of positive squares in 12 ways, for example, as 1806590016 + 423454084 = 42504^2 + 20578^2 .

It is not an unprimeable number, because it can be changed into a prime (2230044101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1713450 + ... + 1714750.

It is an arithmetic number, because the mean of its divisors is an integer number (68608673).

Almost surely, 22230044100 is an apocalyptic number.

2230044100 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 2230044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469912228).

2230044100 is an abundant number, since it is smaller than the sum of its proper divisors (2709780356).

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

2230044100 is a wasteful number, since it uses less digits than its factorization.

2230044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2230044100 is about 47223.3427448757. The cubic root of 2230044100 is about 1306.4851683154.

Adding to 2230044100 its reverse (14400322), we get a palindrome (2244444422).

The spelling of 2230044100 in words is "two billion, two hundred thirty million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 281 305 562 610 1124 1220 1301 1405 1525 2602 2810 3050 5204 5620 6100 6505 7025 13010 14050 17141 26020 28100 32525 34282 65050 68564 79361 85705 130100 158722 171410 317444 342820 365581 396805 428525 731162 793610 857050 1462324 1587220 1714100 1827905 1984025 3655810 3968050 7311620 7936100 9139525 18279050 22300441 36558100 44600882 89201764 111502205 223004410 446008820 557511025 1115022050 2230044100