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225202502300 = 225261151244493
BaseRepresentation
bin1101000110111100011…
…1010111101010011100
3210112021202020110020112
43101233013113222130
512142203320033200
6251242343105152
722161504454046
oct3215707275234
9715252213215
10225202502300
1187564a3a1a6
123778ba421b8
131830c7a7929
14ac852dca96
155cd0ce7535
hex346f1d7a9c

225202502300 has 72 divisors (see below), whose sum is σ = 499992185952. Its totient is φ = 88017120000.

The previous prime is 225202502279. The next prime is 225202502309. The reversal of 225202502300 is 3205202522.

It is a happy number.

225202502300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225202502309) 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, 798854 + ... + 1043346.

It is an arithmetic number, because the mean of its divisors is an integer number (6944335916).

Almost surely, 2225202502300 is an apocalyptic number.

225202502300 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 225202502300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249996092976).

225202502300 is an abundant number, since it is smaller than the sum of its proper divisors (274789683652).

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

225202502300 is a wasteful number, since it uses less digits than its factorization.

225202502300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244719 (or 244712 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

Adding to 225202502300 its reverse (3205202522), we get a palindrome (228407704822).

The spelling of 225202502300 in words is "two hundred twenty-five billion, two hundred two million, five hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 151 244 302 305 604 610 755 1220 1510 1525 3020 3050 3775 6100 7550 9211 15100 18422 36844 46055 92110 184220 230275 244493 460550 488986 921100 977972 1222465 2444930 4889860 6112325 12224650 14914073 24449300 29828146 36918443 59656292 73836886 74570365 147673772 149140730 184592215 298281460 369184430 372851825 738368860 745703650 922961075 1491407300 1845922150 2252025023 3691844300 4504050046 9008100092 11260125115 22520250230 45040500460 56300625575 112601251150 225202502300