Search a number
-
+
244127100 = 2235271011151
BaseRepresentation
bin11101000110100…
…01010101111100
3122000100221102110
432203101111330
5444444031400
640120254020
76023021550
oct1643212574
9560327373
10244127100
11115892338
1269911310
133b767509
14245cb860
1516673e50
hexe8d157c

244127100 has 144 divisors (see below), whose sum is σ = 815947776. Its totient is φ = 55200000.

The previous prime is 244127099. The next prime is 244127101. The reversal of 244127100 is 1721442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (244127099) and next prime (244127101).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244127101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211525 + ... + 212675.

It is an arithmetic number, because the mean of its divisors is an integer number (5666304).

Almost surely, 2244127100 is an apocalyptic number.

244127100 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 244127100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407973888).

244127100 is an abundant number, since it is smaller than the sum of its proper divisors (571820676).

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

244127100 is a wasteful number, since it uses less digits than its factorization.

244127100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 244127100 is about 15624.5671940057. The cubic root of 244127100 is about 624.9884584535.

Adding to 244127100 its reverse (1721442), we get a palindrome (245848542).

The spelling of 244127100 in words is "two hundred forty-four million, one hundred twenty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 101 105 140 150 175 202 210 300 303 350 404 420 505 525 606 700 707 1010 1050 1151 1212 1414 1515 2020 2100 2121 2302 2525 2828 3030 3453 3535 4242 4604 5050 5755 6060 6906 7070 7575 8057 8484 10100 10605 11510 13812 14140 15150 16114 17265 17675 21210 23020 24171 28775 30300 32228 34530 35350 40285 42420 48342 53025 57550 69060 70700 80570 86325 96684 106050 115100 116251 120855 161140 172650 201425 212100 232502 241710 345300 348753 402850 465004 483420 581255 604275 697506 805700 813757 1162510 1208550 1395012 1627514 1743765 2325020 2417100 2441271 2906275 3255028 3487530 4068785 4882542 5812550 6975060 8137570 8718825 9765084 11625100 12206355 16275140 17437650 20343925 24412710 34875300 40687850 48825420 61031775 81375700 122063550 244127100