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244141020 = 223351134001
BaseRepresentation
bin11101000110101…
…00101111011100
3122000101122112000
432203110233130
51000000003040
640120442300
76023110254
oct1643245734
9560348460
10244141020
111158a1842
1269919390
133b770956
14245d2964
1516678130
hexe8d4bdc

244141020 has 96 divisors (see below), whose sum is σ = 766463040. Its totient is φ = 64512000.

The previous prime is 244140991. The next prime is 244141049. The reversal of 244141020 is 20141442.

It is an interprime number because it is at equal distance from previous prime (244140991) and next prime (244141049).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 244140984 and 244141002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59020 + ... + 63020.

It is an arithmetic number, because the mean of its divisors is an integer number (7983990).

Almost surely, 2244141020 is an apocalyptic number.

244141020 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 244141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383231520).

244141020 is an abundant number, since it is smaller than the sum of its proper divisors (522322020).

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

244141020 is a wasteful number, since it uses less digits than its factorization.

244141020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 244141020 is about 15625.0126399949. The cubic root of 244141020 is about 625.0003370665. Note that the first 3 decimals are identical.

Adding to 244141020 its reverse (20141442), we get a palindrome (264282462).

The spelling of 244141020 in words is "two hundred forty-four million, one hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 113 135 180 226 270 339 452 540 565 678 1017 1130 1356 1695 2034 2260 3051 3390 4001 4068 5085 6102 6780 8002 10170 12003 12204 15255 16004 20005 20340 24006 30510 36009 40010 48012 60015 61020 72018 80020 108027 120030 144036 180045 216054 240060 360090 432108 452113 540135 720180 904226 1080270 1356339 1808452 2160540 2260565 2712678 4069017 4521130 5425356 6781695 8138034 9042260 12207051 13563390 16276068 20345085 24414102 27126780 40690170 48828204 61035255 81380340 122070510 244141020