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225002401140 = 2235114379100357
BaseRepresentation
bin1101000110001100110…
…0000010110101110100
3210111202210201021001110
43101203030002311310
512141301103314030
6251210434155020
722153524565536
oct3214314026564
9714683637043
10225002401140
1187471a98240
1237734a22a70
13182aa1b658a
14ac668d1856
155cbd46d1b0
hex3463302d74

225002401140 has 192 divisors, whose sum is σ = 712172482560. Its totient is φ = 52602600960.

The previous prime is 225002401109. The next prime is 225002401147. The reversal of 225002401140 is 41104200522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225002401147) 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 63 ways as a sum of consecutive naturals, for example, 2191842 + ... + 2292198.

It is an arithmetic number, because the mean of its divisors is an integer number (3709231680).

Almost surely, 2225002401140 is an apocalyptic number.

225002401140 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 225002401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356086241280).

225002401140 is an abundant number, since it is smaller than the sum of its proper divisors (487170081420).

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

225002401140 is a wasteful number, since it uses less digits than its factorization.

225002401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100502 (or 100500 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 225002401140 its reverse (41104200522), we get a palindrome (266106601662).

The spelling of 225002401140 in words is "two hundred twenty-five billion, two million, four hundred one thousand, one hundred forty".