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225003600304 = 24723370912161
BaseRepresentation
bin1101000110001101000…
…0100111100110110000
3210111202212222011222221
43101203100213212300
512141301410202204
6251210520010424
722153541021620
oct3214320474660
9714685864887
10225003600304
118747273718a
1237735300a14
13182aa516342
14ac66b24880
155cbd608654
hex34634279b0

225003600304 has 80 divisors (see below), whose sum is σ = 501107480640. Its totient is φ = 95872942080.

The previous prime is 225003600301. The next prime is 225003600323. The reversal of 225003600304 is 403006300522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (225003600301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18495984 + ... + 18508144.

It is an arithmetic number, because the mean of its divisors is an integer number (6263843508).

Almost surely, 2225003600304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225003600304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250553740320).

225003600304 is an abundant number, since it is smaller than the sum of its proper divisors (276103880336).

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

225003600304 is a wasteful number, since it uses less digits than its factorization.

225003600304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13118 (or 13112 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 225003600304 its reverse (403006300522), we get a palindrome (628009900826).

The spelling of 225003600304 in words is "two hundred twenty-five billion, three million, six hundred thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 233 466 709 932 1418 1631 1864 2836 3262 3728 4963 5672 6524 9926 11344 12161 13048 19852 24322 26096 39704 48644 79408 85127 97288 165197 170254 194576 330394 340508 660788 681016 1156379 1321576 1362032 2312758 2643152 2833513 4625516 5667026 8622149 9251032 11334052 17244298 18502064 19834591 22668104 34488596 39669182 45336208 60355043 68977192 79338364 120710086 137954384 158676728 241420172 317353456 482840344 965680688 2008960717 4017921434 8035842868 14062725019 16071685736 28125450038 32143371472 56250900076 112501800152 225003600304