Search a number
-
+
244145000 = 23541123193
BaseRepresentation
bin11101000110101…
…01101101101000
3122000101211222102
432203111231220
51000000120000
640120512532
76023125001
oct1643255550
9560354872
10244145000
111158a4830
126991b748
133b7726c8
14245d41a8
15166793d5
hexe8d5b68

244145000 has 160 divisors (see below), whose sum is σ = 654540480. Its totient is φ = 84480000.

The previous prime is 244144991. The next prime is 244145053. The reversal of 244145000 is 541442.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1264904 + ... + 1265096.

It is an arithmetic number, because the mean of its divisors is an integer number (4090878).

Almost surely, 2244145000 is an apocalyptic number.

244145000 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 244145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327270240).

244145000 is an abundant number, since it is smaller than the sum of its proper divisors (410395480).

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

244145000 is a wasteful number, since it uses less digits than its factorization.

244145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 244145000 is about 15625.1399993728. The cubic root of 244145000 is about 625.0037333110.

Adding to 244145000 its reverse (541442), we get a palindrome (244686442).

The spelling of 244145000 in words is "two hundred forty-four million, one hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 125 184 193 200 220 230 250 253 275 386 440 460 500 506 550 575 625 772 920 965 1000 1012 1100 1150 1250 1265 1375 1544 1930 2024 2123 2200 2300 2500 2530 2750 2875 3860 4246 4439 4600 4825 5000 5060 5500 5750 6325 6875 7720 8492 8878 9650 10120 10615 11000 11500 12650 13750 14375 16984 17756 19300 21230 22195 23000 24125 25300 27500 28750 31625 35512 38600 42460 44390 48250 48829 50600 53075 55000 57500 63250 84920 88780 96500 97658 106150 110975 115000 120625 126500 158125 177560 193000 195316 212300 221950 241250 244145 253000 265375 316250 390632 424600 443900 482500 488290 530750 554875 632500 887800 965000 976580 1061500 1109750 1220725 1265000 1326875 1953160 2123000 2219500 2441450 2653750 2774375 4439000 4882900 5307500 5548750 6103625 9765800 10615000 11097500 12207250 22195000 24414500 30518125 48829000 61036250 122072500 244145000