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244045020 = 223531179733
BaseRepresentation
bin11101000101111…
…01010011011100
3122000012202211110
432202331103130
5444433420040
640114422020
76022230342
oct1642752334
9560182743
10244045020
111158366aa
1269891910
133b73904b
14245a9992
1516659980
hexe8bd4dc

244045020 has 96 divisors (see below), whose sum is σ = 710277120. Its totient is φ = 62542080.

The previous prime is 244044967. The next prime is 244045027. The reversal of 244045020 is 20540442.

244045020 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

244045020 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244045027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332574 + ... + 333306.

It is an arithmetic number, because the mean of its divisors is an integer number (7398720).

Almost surely, 2244045020 is an apocalyptic number.

244045020 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 244045020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355138560).

244045020 is an abundant number, since it is smaller than the sum of its proper divisors (466232100).

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

244045020 is a wasteful number, since it uses less digits than its factorization.

244045020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 244045020 is about 15621.9403404315. The cubic root of 244045020 is about 624.9184064151.

Adding to 244045020 its reverse (20540442), we get a palindrome (264585462).

The spelling of 244045020 in words is "two hundred forty-four million, forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 179 186 310 358 372 465 537 620 716 733 895 930 1074 1466 1790 1860 2148 2199 2685 2932 3580 3665 4398 5370 5549 7330 8796 10740 10995 11098 14660 16647 21990 22196 22723 27745 33294 43980 45446 55490 66588 68169 83235 90892 110980 113615 131207 136338 166470 227230 262414 272676 332940 340845 393621 454460 524828 656035 681690 787242 1312070 1363380 1574484 1968105 2624140 3936210 4067417 7872420 8134834 12202251 16269668 20337085 24404502 40674170 48809004 61011255 81348340 122022510 244045020