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244444020 = 223517367653
BaseRepresentation
bin11101001000111…
…10101101110100
3122000222001011020
432210132231310
51000034202040
640131141140
76025511532
oct1644365564
9560861136
10244444020
11115a89457
1269a447b0
133b848842
1424671152
15166d7cd0
hexe91eb74

244444020 has 96 divisors (see below), whose sum is σ = 727792128. Its totient is φ = 61089792.

The previous prime is 244444001. The next prime is 244444027. The reversal of 244444020 is 20444442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244444027) 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, 374014 + ... + 374666.

It is an arithmetic number, because the mean of its divisors is an integer number (7581168).

Almost surely, 2244444020 is an apocalyptic number.

244444020 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 244444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363896064).

244444020 is an abundant number, since it is smaller than the sum of its proper divisors (483348108).

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

244444020 is a wasteful number, since it uses less digits than its factorization.

244444020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 244444020 is about 15634.7056256266. The cubic root of 244444020 is about 625.2587898963.

Adding to 244444020 its reverse (20444442), we get a palindrome (264888462).

It can be divided in two parts, 2444 and 44020, that added together give a palindrome (46464).

The spelling of 244444020 in words is "two hundred forty-four million, four hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 367 510 653 734 1020 1101 1306 1468 1835 1959 2202 2612 3265 3670 3918 4404 5505 6239 6530 7340 7836 9795 11010 11101 12478 13060 18717 19590 22020 22202 24956 31195 33303 37434 39180 44404 55505 62390 66606 74868 93585 111010 124780 133212 166515 187170 222020 239651 333030 374340 479302 666060 718953 958604 1198255 1437906 2396510 2875812 3594765 4074067 4793020 7189530 8148134 12222201 14379060 16296268 20370335 24444402 40740670 48888804 61111005 81481340 122222010 244444020