Search a number
-
+
244311100 = 225211261331
BaseRepresentation
bin11101000111111…
…10010000111100
3122000201021211021
432203332100330
51000020423400
640124233524
76024416155
oct1643762074
9560637737
10244311100
111159a8600
126999b8a4
133b8001a7
142463892c
15166ad71a
hexe8fe43c

244311100 has 108 divisors (see below), whose sum is σ = 594074824. Its totient is φ = 87120000.

The previous prime is 244311091. The next prime is 244311113. The reversal of 244311100 is 1113442.

244311100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 737935 + ... + 738265.

Almost surely, 2244311100 is an apocalyptic number.

244311100 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 244311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297037412).

244311100 is an abundant number, since it is smaller than the sum of its proper divisors (349763724).

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

244311100 is a wasteful number, since it uses less digits than its factorization.

244311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 244311100 is about 15630.4542480377. The cubic root of 244311100 is about 625.1454381538.

Adding to 244311100 its reverse (1113442), we get a palindrome (245424542).

The spelling of 244311100 in words is "two hundred forty-four million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 121 122 220 242 244 275 305 331 484 550 605 610 662 671 1100 1210 1220 1324 1342 1525 1655 2420 2684 3025 3050 3310 3355 3641 6050 6100 6620 6710 7282 7381 8275 12100 13420 14564 14762 16550 16775 18205 20191 29524 33100 33550 36410 36905 40051 40382 67100 72820 73810 80102 80764 91025 100955 147620 160204 182050 184525 200255 201910 222101 364100 369050 400510 403820 444202 504775 738100 801020 888404 1001275 1009550 1110505 2002550 2019100 2221010 2443111 4005100 4442020 4886222 5552525 9772444 11105050 12215555 22210100 24431110 48862220 61077775 122155550 244311100