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204224424 = 233101173487
BaseRepresentation
bin11000010110000…
…11011110101000
3112020021200020120
430023003132220
5404240140144
632133123240
75026610325
oct1413033650
9466250216
10204224424
11a5308918
1258489520
1333406071
141d1a1b4c
1512de0e19
hexc2c37a8

204224424 has 64 divisors (see below), whose sum is σ = 519661440. Its totient is φ = 66873600.

The previous prime is 204224411. The next prime is 204224441. The reversal of 204224424 is 424422402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 204224394 and 204224403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419109 + ... + 419595.

It is an arithmetic number, because the mean of its divisors is an integer number (8119710).

Almost surely, 2204224424 is an apocalyptic number.

204224424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204224424 is an abundant number, since it is smaller than the sum of its proper divisors (315437016).

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

204224424 is a wasteful number, since it uses less digits than its factorization.

204224424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 204224424 is about 14290.7111089687. The cubic root of 204224424 is about 588.8923237224.

Adding to 204224424 its reverse (424422402), we get a palindrome (628646826).

The spelling of 204224424 in words is "two hundred four million, two hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 101 173 202 303 346 404 487 519 606 692 808 974 1038 1212 1384 1461 1948 2076 2424 2922 3896 4152 5844 11688 17473 34946 49187 52419 69892 84251 98374 104838 139784 147561 168502 196748 209676 252753 295122 337004 393496 419352 505506 590244 674008 1011012 1180488 2022024 8509351 17018702 25528053 34037404 51056106 68074808 102112212 204224424