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225257035740 = 2235111959304459
BaseRepresentation
bin1101000111001001011…
…1011001011111011100
3210112102112212001001120
43101302113121133130
512142311300120430
6251252012010540
722163036132502
oct3216227313734
9715375761046
10225257035740
11875927a6a60
12377a6160a50
131831ab8c639
14ac8c656672
155cd59ba610
hex34725d97dc

225257035740 has 192 divisors, whose sum is σ = 736549632000. Its totient is φ = 50856664320.

The previous prime is 225257035727. The next prime is 225257035793. The reversal of 225257035740 is 47530752522.

It is a junction number, because it is equal to n+sod(n) for n = 225257035692 and 225257035701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 587631 + ... + 892089.

It is an arithmetic number, because the mean of its divisors is an integer number (3836196000).

Almost surely, 2225257035740 is an apocalyptic number.

225257035740 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 225257035740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368274816000).

225257035740 is an abundant number, since it is smaller than the sum of its proper divisors (511292596260).

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

225257035740 is a wasteful number, since it uses less digits than its factorization.

225257035740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304560 (or 304558 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 42.

The spelling of 225257035740 in words is "two hundred twenty-five billion, two hundred fifty-seven million, thirty-five thousand, seven hundred forty".