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225054741032 = 231183137224909
BaseRepresentation
bin1101000110011001001…
…1101101001000101000
3210111220110012101212222
43101212103231020220
512141403003203112
6251215544053212
722155031510142
oct3214623551050
9714813171788
10225054741032
1187499596a50
123774a464208
13182b7cb0a24
14ac6d837c92
155cc2d5b372
hex34664ed228

225054741032 has 64 divisors (see below), whose sum is σ = 469288209600. Its totient is φ = 100326960640.

The previous prime is 225054741031. The next prime is 225054741047. The reversal of 225054741032 is 230147450522.

It is a junction number, because it is equal to n+sod(n) for n = 225054740983 and 225054741001.

It is not an unprimeable number, because it can be changed into a prime (225054741031) 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 15 ways as a sum of consecutive naturals, for example, 888194 + ... + 1113102.

It is an arithmetic number, because the mean of its divisors is an integer number (7332628275).

Almost surely, 2225054741032 is an apocalyptic number.

225054741032 is a gapful number since it is divisible by the number (22) 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 225054741032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234644104800).

225054741032 is an abundant number, since it is smaller than the sum of its proper divisors (244233468568).

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

225054741032 is a wasteful number, since it uses less digits than its factorization.

225054741032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225146 (or 225142 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 225054741032 in words is "two hundred twenty-five billion, fifty-four million, seven hundred forty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 83 88 137 166 274 332 548 664 913 1096 1507 1826 3014 3652 6028 7304 11371 12056 22742 45484 90968 125081 224909 250162 449818 500324 899636 1000648 1799272 2473999 4947998 9895996 18667447 19791992 30812533 37334894 61625066 74669788 123250132 149339576 205341917 246500264 338937863 410683834 677875726 821367668 1355751452 1642735336 2557440239 2711502904 5114880478 10229760956 20459521912 28131842629 56263685258 112527370516 225054741032