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232003224 = 23331956531
BaseRepresentation
bin11011101010000…
…01011010011000
3121011112222121000
431311001122120
5433343100344
635004345000
75514665145
oct1565013230
9534488530
10232003224
11109a61502
1265845160
13390b101b
1422b533cc
151557ba69
hexdd41698

232003224 has 64 divisors (see below), whose sum is σ = 678384000. Its totient is φ = 73262880.

The previous prime is 232003193. The next prime is 232003237. The reversal of 232003224 is 422300232.

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

It is a junction number, because it is equal to n+sod(n) for n = 232003197 and 232003206.

It is a congruent number.

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, 24162 + ... + 32369.

It is an arithmetic number, because the mean of its divisors is an integer number (10599750).

Almost surely, 2232003224 is an apocalyptic number.

232003224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232003224 is an abundant number, since it is smaller than the sum of its proper divisors (446380776).

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

232003224 is a wasteful number, since it uses less digits than its factorization.

232003224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56565 (or 56555 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 232003224 is about 15231.6520443450. The cubic root of 232003224 is about 614.4662114313.

Adding to 232003224 its reverse (422300232), we get a palindrome (654303456).

The spelling of 232003224 in words is "two hundred thirty-two million, three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 56531 113062 169593 226124 339186 452248 508779 678372 1017558 1074089 1356744 1526337 2035116 2148178 3052674 3222267 4070232 4296356 6105348 6444534 8592712 9666801 12210696 12889068 19333602 25778136 29000403 38667204 58000806 77334408 116001612 232003224