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244325000 = 235529337
BaseRepresentation
bin11101001000000…
…01101010001000
3122000201222220002
432210001222020
51000021400000
640124422132
76024504533
oct1644015210
9560658802
10244325000
11115a07a97
12699a7948
133b80660a
142463da1a
15166b28d5
hexe901a88

244325000 has 96 divisors (see below), whose sum is σ = 594102600. Its totient is φ = 94080000.

The previous prime is 244324991. The next prime is 244325033. The reversal of 244325000 is 523442.

It can be written as a sum of positive squares in 12 ways, for example, as 139098436 + 105226564 = 11794^2 + 10258^2 .

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, 724832 + ... + 725168.

Almost surely, 2244325000 is an apocalyptic number.

244325000 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 244325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297051300).

244325000 is an abundant number, since it is smaller than the sum of its proper divisors (349777600).

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

244325000 is an equidigital number, since it uses as much as digits as its factorization.

244325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 244325000 is about 15630.8988865004. The cubic root of 244325000 is about 625.1572937439.

Adding to 244325000 its reverse (523442), we get a palindrome (244848442).

The spelling of 244325000 in words is "two hundred forty-four million, three hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 337 500 580 625 674 725 1000 1160 1250 1348 1450 1685 2500 2696 2900 3125 3370 3625 5000 5800 6250 6740 7250 8425 9773 12500 13480 14500 16850 18125 19546 25000 29000 33700 36250 39092 42125 48865 67400 72500 78184 84250 90625 97730 145000 168500 181250 195460 210625 244325 337000 362500 390920 421250 488650 725000 842500 977300 1053125 1221625 1685000 1954600 2106250 2443250 4212500 4886500 6108125 8425000 9773000 12216250 24432500 30540625 48865000 61081250 122162500 244325000