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225434321300 = 22525954170627
BaseRepresentation
bin1101000111110011101…
…1101100000110010100
3210112212220110002010102
43101330323230012110
512143142141240200
6251321343513232
722200321054146
oct3217473540624
9715786402112
10225434321300
1187673885251
12378355b8818
1318348822b36
14aca8004c96
155ce63396d5
hex347ceec194

225434321300 has 72 divisors (see below), whose sum is σ = 498410495520. Its totient is φ = 88480252800.

The previous prime is 225434321291. The next prime is 225434321309. The reversal of 225434321300 is 3123434522.

It is a happy number.

225434321300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225434321291) and next prime (225434321309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225434321309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3156587 + ... + 3227213.

Almost surely, 2225434321300 is an apocalyptic number.

225434321300 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 225434321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249205247760).

225434321300 is an abundant number, since it is smaller than the sum of its proper divisors (272976174220).

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

225434321300 is a wasteful number, since it uses less digits than its factorization.

225434321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71241 (or 71234 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 225434321300 its reverse (3123434522), we get a palindrome (228557755822).

The spelling of 225434321300 in words is "two hundred twenty-five billion, four hundred thirty-four million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 541 590 1082 1180 1475 2164 2705 2950 5410 5900 10820 13525 27050 31919 54100 63838 70627 127676 141254 159595 282508 319190 353135 638380 706270 797975 1412540 1595950 1765675 3191900 3531350 4166993 7062700 8333986 16667972 20834965 38209207 41669930 76418414 83339860 104174825 152836828 191046035 208349650 382092070 416699300 764184140 955230175 1910460350 2254343213 3820920700 4508686426 9017372852 11271716065 22543432130 45086864260 56358580325 112717160650 225434321300