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244310230100 = 225241229260209
BaseRepresentation
bin1110001110001000000…
…1100100010001010100
3212100121101210121010202
43203202001210101110
513000321404330400
6304122400040032
723436143456216
oct3434201442124
9770541717122
10244310230100
119467a834982
123b423003018
131a066363441
14bb78cba5b6
15654d5614d5
hex38e2064454

244310230100 has 72 divisors (see below), whose sum is σ = 545457406200. Its totient is φ = 94923878400.

The previous prime is 244310230093. The next prime is 244310230127. The reversal of 244310230100 is 1032013442.

It can be written as a sum of positive squares in 12 ways, for example, as 22088498884 + 222221731216 = 148622^2 + 471404^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808796 + ... + 1069004.

Almost surely, 2244310230100 is an apocalyptic number.

244310230100 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 244310230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272728703100).

244310230100 is an abundant number, since it is smaller than the sum of its proper divisors (301147176100).

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

244310230100 is a wasteful number, since it uses less digits than its factorization.

244310230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260493 (or 260486 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 244310230100 its reverse (1032013442), we get a palindrome (245342243542).

The spelling of 244310230100 in words is "two hundred forty-four billion, three hundred ten million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 229 410 458 820 916 1025 1145 2050 2290 4100 4580 5725 9389 11450 18778 22900 37556 46945 93890 187780 234725 260209 469450 520418 938900 1040836 1301045 2602090 5204180 6505225 10668569 13010450 21337138 26020900 42674276 53342845 59587861 106685690 119175722 213371380 238351444 266714225 297939305 533428450 595878610 1066856900 1191757220 1489696525 2443102301 2979393050 4886204602 5958786100 9772409204 12215511505 24431023010 48862046020 61077557525 122155115050 244310230100