Search a number
-
+
245105000 = 2354747149
BaseRepresentation
bin11101001110000…
…00000101101000
3122002012121211222
432213000011220
51000221330000
640153241212
76034233560
oct1647000550
9562177758
10245105000
111163a0018
126a103208
133ba1a65a
14247a3da0
15167b8a85
hexe9c0168

245105000 has 160 divisors (see below), whose sum is σ = 674784000. Its totient is φ = 81696000.

The previous prime is 245104991. The next prime is 245105033. The reversal of 245105000 is 501542.

It is a super-2 number, since 2×2451050002 = 120152922050000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 245105000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1644926 + ... + 1645074.

It is an arithmetic number, because the mean of its divisors is an integer number (4217400).

Almost surely, 2245105000 is an apocalyptic number.

245105000 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 245105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337392000).

245105000 is an abundant number, since it is smaller than the sum of its proper divisors (429679000).

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

245105000 is a wasteful number, since it uses less digits than its factorization.

245105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 245105000 is about 15655.8295851737. The cubic root of 245105000 is about 625.8218521541.

Adding to 245105000 its reverse (501542), we get a palindrome (245606542).

The spelling of 245105000 in words is "two hundred forty-five million, one hundred five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 125 140 149 175 188 200 235 250 280 298 329 350 376 470 500 596 625 658 700 745 875 940 1000 1043 1175 1192 1250 1316 1400 1490 1645 1750 1880 2086 2350 2500 2632 2980 3290 3500 3725 4172 4375 4700 5000 5215 5875 5960 6580 7000 7003 7450 8225 8344 8750 9400 10430 11750 13160 14006 14900 16450 17500 18625 20860 23500 26075 28012 29375 29800 32900 35000 35015 37250 41125 41720 47000 49021 52150 56024 58750 65800 70030 74500 82250 93125 98042 104300 117500 130375 140060 149000 164500 175075 186250 196084 205625 208600 235000 245105 260750 280120 329000 350150 372500 392168 411250 490210 521500 651875 700300 745000 822500 875375 980420 1043000 1225525 1303750 1400600 1645000 1750750 1960840 2451050 2607500 3501500 4376875 4902100 5215000 6127625 7003000 8753750 9804200 12255250 17507500 24510500 30638125 35015000 49021000 61276250 122552500 245105000