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245441000 = 2353725009
BaseRepresentation
bin11101010000100…
…10000111101000
3122002211200202102
432220102013220
51000313103000
640204352532
76040133300
oct1650220750
9562750672
10245441000
111165aa502
126a245748
133bb0757c
1424850600
15168333d5
hexea121e8

245441000 has 96 divisors (see below), whose sum is σ = 668233800. Its totient is φ = 84134400.

The previous prime is 245440997. The next prime is 245441011. The reversal of 245441000 is 144542.

It can be written as a sum of positive squares in 4 ways, for example, as 68923204 + 176517796 = 8302^2 + 13286^2 .

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 23 ways as a sum of consecutive naturals, for example, 46496 + ... + 51504.

Almost surely, 2245441000 is an apocalyptic number.

245441000 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 245441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334116900).

245441000 is an abundant number, since it is smaller than the sum of its proper divisors (422792800).

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

245441000 is a wasteful number, since it uses less digits than its factorization.

245441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044 (or 5023 counting only the distinct ones).

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

The square root of 245441000 is about 15666.5567372030. The cubic root of 245441000 is about 626.1076890136.

Adding to 245441000 its reverse (144542), we get a palindrome (245585542).

The spelling of 245441000 in words is "two hundred forty-five million, four hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 5009 6125 7000 9800 10018 12250 20036 24500 25045 35063 40072 49000 50090 70126 100180 125225 140252 175315 200360 245441 250450 280504 350630 490882 500900 626125 701260 876575 981764 1001800 1227205 1252250 1402520 1753150 1963528 2454410 2504500 3506300 4382875 4908820 5009000 6136025 7012600 8765750 9817640 12272050 17531500 24544100 30680125 35063000 49088200 61360250 122720500 245441000