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225963887140 = 22550322461619
BaseRepresentation
bin1101001001110001111…
…1110100101000100100
3210121020210220210220001
43102130133310220210
512200233223342030
6251450102151044
722216411230655
oct3223437645044
9717223823801
10225963887140
11879157a5972
1237962a22484
131840145a3c4
14ad1849552c
155d27a92cca
hex349c7f4a24

225963887140 has 24 divisors (see below), whose sum is σ = 475467572160. Its totient is φ = 90205857888.

The previous prime is 225963887101. The next prime is 225963887147. The reversal of 225963887140 is 41788369522.

225963887140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225963887147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11220750 + ... + 11240869.

It is an arithmetic number, because the mean of its divisors is an integer number (19811148840).

It is a 1-persistent number, because it is pandigital, but 2⋅225963887140 = 451927774280 is not.

Almost surely, 2225963887140 is an apocalyptic number.

225963887140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225963887140 is an abundant number, since it is smaller than the sum of its proper divisors (249503685020).

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

225963887140 is a wasteful number, since it uses less digits than its factorization.

225963887140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22462131 (or 22462129 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 225963887140 in words is "two hundred twenty-five billion, nine hundred sixty-three million, eight hundred eighty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 503 1006 2012 2515 5030 10060 22461619 44923238 89846476 112308095 224616190 449232380 11298194357 22596388714 45192777428 56490971785 112981943570 225963887140