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244490000 = 2454231063
BaseRepresentation
bin11101001001010…
…01111100010000
3122001001101020012
432210221330100
51000042140000
640132134052
76026062556
oct1644517420
9561041205
10244490000
1111600aa57
1269a67328
133b863751
1424683bd6
15166e6735
hexe929f10

244490000 has 100 divisors (see below), whose sum is σ = 618252096. Its totient is φ = 93456000.

The previous prime is 244489997. The next prime is 244490009. The reversal of 244490000 is 94442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×2444900003 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (244490009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 229469 + ... + 230531.

Almost surely, 2244490000 is an apocalyptic number.

244490000 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 244490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309126048).

244490000 is an abundant number, since it is smaller than the sum of its proper divisors (373762096).

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

244490000 is a wasteful number, since it uses less digits than its factorization.

244490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 244490000 is about 15636.1760031025. The cubic root of 244490000 is about 625.2979912327.

The spelling of 244490000 in words is "two hundred forty-four million, four hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1063 1150 1250 1840 2000 2126 2300 2500 2875 4252 4600 5000 5315 5750 8504 9200 10000 10630 11500 14375 17008 21260 23000 24449 26575 28750 42520 46000 48898 53150 57500 85040 97796 106300 115000 122245 132875 195592 212600 230000 244490 265750 391184 425200 488980 531500 611225 664375 977960 1063000 1222450 1328750 1955920 2126000 2444900 2657500 3056125 4889800 5315000 6112250 9779600 10630000 12224500 15280625 24449000 30561250 48898000 61122500 122245000 244490000