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244801020 = 2235171072243
BaseRepresentation
bin11101001011101…
…01110111111100
3122001122011212110
432211311313330
51000132113040
640142534020
76031526412
oct1645656774
9561564773
10244801020
111162026a2
1269b97310
133b942199
14247252b2
1516758980
hexe975dfc

244801020 has 96 divisors (see below), whose sum is σ = 732872448. Its totient is φ = 60838912.

The previous prime is 244801001. The next prime is 244801043. The reversal of 244801020 is 20108442.

It is a congruent number.

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, 108019 + ... + 110261.

It is an arithmetic number, because the mean of its divisors is an integer number (7634088).

Almost surely, 2244801020 is an apocalyptic number.

244801020 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 244801020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366436224).

244801020 is an abundant number, since it is smaller than the sum of its proper divisors (488071428).

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

244801020 is a wasteful number, since it uses less digits than its factorization.

244801020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 244801020 is about 15646.1183684644. The cubic root of 244801020 is about 625.5630297104.

Adding to 244801020 its reverse (20108442), we get a palindrome (264909462).

The spelling of 244801020 in words is "two hundred forty-four million, eight hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 107 170 204 214 255 321 340 428 510 535 642 1020 1070 1284 1605 1819 2140 2243 3210 3638 4486 5457 6420 6729 7276 8972 9095 10914 11215 13458 18190 21828 22430 26916 27285 33645 36380 38131 44860 54570 67290 76262 109140 114393 134580 152524 190655 228786 240001 381310 457572 480002 571965 720003 762620 960004 1143930 1200005 1440006 2287860 2400010 2880012 3600015 4080017 4800020 7200030 8160034 12240051 14400060 16320068 20400085 24480102 40800170 48960204 61200255 81600340 122400510 244801020