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245145000 = 2335459277
BaseRepresentation
bin11101001110010…
…01110110101000
3122002021122201110
432213021312220
51000224120000
640154150320
76034461312
oct1647116650
9562248643
10245145000
11116418081
126a1223a0
133ba32919
14247b47b2
15167c5850
hexe9c9da8

245145000 has 160 divisors (see below), whose sum is σ = 781624800. Its totient is φ = 64032000.

The previous prime is 245144989. The next prime is 245145001. The reversal of 245145000 is 541542.

It is not an unprimeable number, because it can be changed into a prime (245145001) 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, 884862 + ... + 885138.

It is an arithmetic number, because the mean of its divisors is an integer number (4885155).

Almost surely, 2245145000 is an apocalyptic number.

245145000 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 245145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390812400).

245145000 is an abundant number, since it is smaller than the sum of its proper divisors (536479800).

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

245145000 is a wasteful number, since it uses less digits than its factorization.

245145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 245145000 is about 15657.1070124720. The cubic root of 245145000 is about 625.8558940443.

Adding to 245145000 its reverse (541542), we get a palindrome (245686542).

The spelling of 245145000 in words is "two hundred forty-five million, one hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 125 150 177 200 236 250 277 295 300 354 375 472 500 554 590 600 625 708 750 831 885 1000 1108 1180 1250 1385 1416 1475 1500 1662 1770 1875 2216 2360 2500 2770 2950 3000 3324 3540 3750 4155 4425 5000 5540 5900 6648 6925 7080 7375 7500 8310 8850 11080 11800 13850 14750 15000 16343 16620 17700 20775 22125 27700 29500 32686 33240 34625 35400 36875 41550 44250 49029 55400 59000 65372 69250 73750 81715 83100 88500 98058 103875 110625 130744 138500 147500 163430 166200 173125 177000 196116 207750 221250 245145 277000 295000 326860 346250 392232 408575 415500 442500 490290 519375 653720 692500 817150 831000 885000 980580 1038750 1225725 1385000 1634300 1961160 2042875 2077500 2451450 3268600 4085750 4155000 4902900 6128625 8171500 9805800 10214375 12257250 16343000 20428750 24514500 30643125 40857500 49029000 61286250 81715000 122572500 245145000