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424401219 = 321159113643
BaseRepresentation
bin11001010010111…
…101100101000011
31002120120211000200
4121102331211003
51332121314334
6110040220243
713342231224
oct3122754503
91076524020
10424401219
111a8621a10
12ba16a683
1369c060a8
144051724b
15273d3799
hex194bd943

424401219 has 48 divisors (see below), whose sum is σ = 687173760. Its totient is φ = 250225920.

The previous prime is 424401199. The next prime is 424401227. The reversal of 424401219 is 912104424.

It is a happy number.

424401219 is a `hidden beast` number, since 4 + 2 + 440 + 1 + 219 = 666.

It is not a de Polignac number, because 424401219 - 219 = 423876931 is a prime.

It is a super-2 number, since 2×4244012192 = 360232789377371922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 424401192 and 424401201.

It is not an unprimeable number, because it can be changed into a prime (424401239) 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, 659712 + ... + 660354.

It is an arithmetic number, because the mean of its divisors is an integer number (14316120).

Almost surely, 2424401219 is an apocalyptic number.

424401219 is a deficient number, since it is larger than the sum of its proper divisors (262772541).

424401219 is a wasteful number, since it uses less digits than its factorization.

424401219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 424401219 is about 20601.0004368720. Note that the first 3 decimals coincide. The cubic root of 424401219 is about 751.4940404811.

The spelling of 424401219 in words is "four hundred twenty-four million, four hundred one thousand, two hundred nineteen".

Divisors: 1 3 9 11 33 59 99 113 177 339 531 643 649 1017 1243 1929 1947 3729 5787 5841 6667 7073 11187 20001 21219 37937 60003 63657 72659 73337 113811 217977 220011 341433 417307 653931 660033 799249 1251921 2397747 3755763 4286881 7193241 12860643 38581929 47155691 141467073 424401219