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225431042300 = 2252191094632351
BaseRepresentation
bin1101000111110010111…
…1001011100011111100
3210112212200021111011222
43101330233023203330
512143140321323200
6251321145332512
722200251146322
oct3217457134374
9715780244158
10225431042300
1187671a45732
1237834497138
1318347c454b9
14aca77cdd12
155ce5ddcd85
hex347cbcb8fc

225431042300 has 144 divisors (see below), whose sum is σ = 520999987200. Its totient is φ = 84424032000.

The previous prime is 225431042273. The next prime is 225431042321. The reversal of 225431042300 is 3240134522.

It is a self number, because there is not a number n which added to its sum of digits gives 225431042300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95886125 + ... + 95888475.

Almost surely, 2225431042300 is an apocalyptic number.

225431042300 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 225431042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260499993600).

225431042300 is an abundant number, since it is smaller than the sum of its proper divisors (295568944900).

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

225431042300 is a wasteful number, since it uses less digits than its factorization.

225431042300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 225431042300 its reverse (3240134522), we get a palindrome (228671176822).

The spelling of 225431042300 in words is "two hundred twenty-five billion, four hundred thirty-one million, forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 109 190 218 380 436 463 475 545 926 950 1090 1852 1900 2071 2180 2315 2351 2725 4142 4630 4702 5450 8284 8797 9260 9404 10355 10900 11575 11755 17594 20710 23150 23510 35188 41420 43985 44669 46300 47020 50467 51775 58775 87970 89338 100934 103550 117550 175940 178676 201868 207100 219925 223345 235100 252335 256259 439850 446690 504670 512518 879700 893380 958873 1009340 1025036 1088513 1116725 1261675 1281295 1917746 2177026 2233450 2523350 2562590 3835492 4354052 4466900 4794365 4868921 5046700 5125180 5442565 6406475 9588730 9737842 10885130 12812950 19177460 19475684 20681747 21770260 23971825 24344605 25625900 27212825 41363494 47943650 48689210 54425650 82726988 95887300 97378420 103408735 108851300 118647917 121723025 206817470 237295834 243446050 413634940 474591668 486892100 517043675 593239585 1034087350 1186479170 2068174700 2254310423 2372958340 2966197925 4508620846 5932395850 9017241692 11271552115 11864791700 22543104230 45086208460 56357760575 112715521150 225431042300