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405220809 = 3719311812
BaseRepresentation
bin11000001001110…
…010110111001001
31001020111100110010
4120021302313021
51312214031214
6104113142133
713020214530
oct3011626711
91036440403
10405220809
11198811434
12b385a949
1365c4ba36
143bb63317
1525895659
hex18272dc9

405220809 has 48 divisors (see below), whose sum is σ = 674672640. Its totient is φ = 211118400.

The previous prime is 405220769. The next prime is 405220813. The reversal of 405220809 is 908022504.

It is not a de Polignac number, because 405220809 - 28 = 405220553 is a prime.

It is a super-2 number, since 2×4052208092 = 328407808093228962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405220709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2238699 + ... + 2238879.

It is an arithmetic number, because the mean of its divisors is an integer number (14055680).

Almost surely, 2405220809 is an apocalyptic number.

It is an amenable number.

405220809 is a deficient number, since it is larger than the sum of its proper divisors (269451831).

405220809 is a wasteful number, since it uses less digits than its factorization.

405220809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 405220809 is about 20130.0970936556. The cubic root of 405220809 is about 739.9980575795.

The spelling of 405220809 in words is "four hundred five million, two hundred twenty thousand, eight hundred nine".

Divisors: 1 3 7 19 21 31 57 93 133 181 217 399 543 589 651 1267 1767 3439 3801 4123 5611 10317 12369 16833 24073 32761 39277 72219 98283 106609 117831 229327 319827 622459 687981 746263 1015591 1867377 2238789 3046773 4357213 7109137 13071639 19296229 21327411 57888687 135073603 405220809