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244205230020 = 223531117417517
BaseRepresentation
bin1110001101101111000…
…1000001011111000100
3212100100002020001002220
43203123301001133010
513000113014330040
6304104125332340
723433430130433
oct3433361013704
9770302201086
10244205230020
1194626538854
123b3b3a070b0
131a04a68bb0b
14bb68d8711a
1565442202d0
hex38dbc417c4

244205230020 has 96 divisors (see below), whose sum is σ = 686458596096. Its totient is φ = 64866086400.

The previous prime is 244205230019. The next prime is 244205230039. The reversal of 244205230020 is 20032502442.

It is a happy number.

244205230020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2442052300202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32483302 + ... + 32490818.

It is an arithmetic number, because the mean of its divisors is an integer number (7150610376).

Almost surely, 2244205230020 is an apocalyptic number.

244205230020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244205230020 is an abundant number, since it is smaller than the sum of its proper divisors (442253366076).

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

244205230020 is a wasteful number, since it uses less digits than its factorization.

244205230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9581 (or 9579 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 244205230020 its reverse (20032502442), we get a palindrome (264237732462).

The spelling of 244205230020 in words is "two hundred forty-four billion, two hundred five million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 311 622 933 1244 1555 1741 1866 3110 3482 3732 4665 5223 6220 6964 7517 8705 9330 10446 15034 17410 18660 20892 22551 26115 30068 34820 37585 45102 52230 75170 90204 104460 112755 150340 225510 451020 541451 1082902 1624353 2165804 2337787 2707255 3248706 4675574 5414510 6497412 7013361 8121765 9351148 10829020 11688935 13087097 14026722 16243530 23377870 26174194 28053444 32487060 35066805 39261291 46755740 52348388 65435485 70133610 78522582 130870970 140267220 157045164 196306455 261741940 392612910 785225820 4070087167 8140174334 12210261501 16280348668 20350435835 24420523002 40700871670 48841046004 61051307505 81401743340 122102615010 244205230020