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223225104 = 24313933457
BaseRepresentation
bin11010100111000…
…10010100010000
3120120001000021110
431103202110100
5424121200404
634052253320
75350245024
oct1523422420
9516030243
10223225104
11105006363
1262911240
133732967b
142190a384
15148e5b89
hexd4e2510

223225104 has 40 divisors (see below), whose sum is σ = 580830880. Its totient is φ = 73870848.

The previous prime is 223225103. The next prime is 223225109. The reversal of 223225104 is 401522322.

It is a super-3 number, since 3×2232251043 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223225103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10057 + ... + 23400.

It is an arithmetic number, because the mean of its divisors is an integer number (14520772).

Almost surely, 2223225104 is an apocalyptic number.

223225104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223225104 is an abundant number, since it is smaller than the sum of its proper divisors (357605776).

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

223225104 is a wasteful number, since it uses less digits than its factorization.

223225104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33607 (or 33601 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 223225104 is about 14940.7196613818. The cubic root of 223225104 is about 606.6166755624.

Adding to 223225104 its reverse (401522322), we get a palindrome (624747426).

The spelling of 223225104 in words is "two hundred twenty-three million, two hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 278 417 556 834 1112 1668 2224 3336 6672 33457 66914 100371 133828 200742 267656 401484 535312 802968 1605936 4650523 9301046 13951569 18602092 27903138 37204184 55806276 74408368 111612552 223225104