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224401104 = 2434173149
BaseRepresentation
bin11010110000000…
…01011011010000
3120122020202110000
431120001123100
5424421313404
634133410000
75363243424
oct1530013320
9518222400
10224401104
11105739964
1263199900
133764ba25
1421b34b84
1514a79339
hexd6016d0

224401104 has 50 divisors (see below), whose sum is σ = 649485650. Its totient is φ = 74799936.

The previous prime is 224401097. The next prime is 224401141. The reversal of 224401104 is 401104422.

It can be written as a sum of positive squares in only one way, i.e., 189117504 + 35283600 = 13752^2 + 5940^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 85279 + ... + 87870.

It is an arithmetic number, because the mean of its divisors is an integer number (12989713).

Almost surely, 2224401104 is an apocalyptic number.

224401104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224401104 is an abundant number, since it is smaller than the sum of its proper divisors (425084546).

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

224401104 is a wasteful number, since it uses less digits than its factorization.

224401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173169 (or 173154 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 224401104 is about 14980.0234979789. The cubic root of 224401104 is about 607.6800746464.

Adding to 224401104 its reverse (401104422), we get a palindrome (625505526).

The spelling of 224401104 in words is "two hundred twenty-four million, four hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 173149 346298 519447 692596 1038894 1385192 1558341 2077788 2770384 3116682 4155576 4675023 6233364 8311152 9350046 12466728 14025069 18700092 24933456 28050138 37400184 56100276 74800368 112200552 224401104