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220505417137 = 1073779545329
BaseRepresentation
bin1100110101011100100…
…1011010010110110001
3210002011101211210201101
43031113021122112301
512103043341322022
6245144312204401
721634221056155
oct3152711322661
9702141753641
10220505417137
1185574617635
123689a999701
1317a416277b5
14a95b56d065
155b08778627
hex335725a5b1

220505417137 has 8 divisors (see below), whose sum is σ = 222625519200. Its totient is φ = 218386413504.

The previous prime is 220505417123. The next prime is 220505417183. The reversal of 220505417137 is 731714505022.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 220505417137 - 211 = 220505415089 is a prime.

It is a super-3 number, since 3×2205054171373 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220505417096 and 220505417105.

It is not an unprimeable number, because it can be changed into a prime (220505417537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131689 + ... + 677017.

It is an arithmetic number, because the mean of its divisors is an integer number (27828189900).

Almost surely, 2220505417137 is an apocalyptic number.

It is an amenable number.

220505417137 is a deficient number, since it is larger than the sum of its proper divisors (2120102063).

220505417137 is a wasteful number, since it uses less digits than its factorization.

220505417137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549215.

The product of its (nonzero) digits is 58800, while the sum is 37.

The spelling of 220505417137 in words is "two hundred twenty billion, five hundred five million, four hundred seventeen thousand, one hundred thirty-seven".

Divisors: 1 107 3779 404353 545329 58350203 2060798291 220505417137