Search a number
-
+
244055000 = 2354719367
BaseRepresentation
bin11101000101111…
…11101111011000
3122000020021112002
432202333233120
5444434230000
640114540132
76022301420
oct1642775730
9560207462
10244055000
11115843152
1269897648
133b740757
14245ad480
151665c8d5
hexe8bfbd8

244055000 has 160 divisors (see below), whose sum is σ = 689779200. Its totient is φ = 79056000.

The previous prime is 244054939. The next prime is 244055003. The reversal of 244055000 is 550442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244055003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 664817 + ... + 665183.

It is an arithmetic number, because the mean of its divisors is an integer number (4311120).

Almost surely, 2244055000 is an apocalyptic number.

244055000 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 244055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344889600).

244055000 is an abundant number, since it is smaller than the sum of its proper divisors (445724200).

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

244055000 is a wasteful number, since it uses less digits than its factorization.

244055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 244055000 is about 15622.2597597147. The cubic root of 244055000 is about 624.9269247897.

The spelling of 244055000 in words is "two hundred forty-four million, fifty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 367 380 475 500 532 625 665 700 734 760 875 950 1000 1064 1250 1330 1400 1468 1750 1835 1900 2375 2500 2569 2660 2936 3325 3500 3670 3800 4375 4750 5000 5138 5320 6650 6973 7000 7340 8750 9175 9500 10276 11875 12845 13300 13946 14680 16625 17500 18350 19000 20552 23750 25690 26600 27892 33250 34865 35000 36700 45875 47500 48811 51380 55784 64225 66500 69730 73400 83125 91750 95000 97622 102760 128450 133000 139460 166250 174325 183500 195244 229375 244055 256900 278920 321125 332500 348650 367000 390488 458750 488110 513800 642250 665000 697300 871625 917500 976220 1220275 1284500 1394600 1605625 1743250 1835000 1952440 2440550 2569000 3211250 3486500 4358125 4881100 6101375 6422500 6973000 8716250 9762200 12202750 12845000 17432500 24405500 30506875 34865000 48811000 61013750 122027500 244055000