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232423224 = 233117571163
BaseRepresentation
bin11011101101001…
…11111100111000
3121012100022201120
431312213330320
5434000020344
635021345240
75521364505
oct1566477470
9535308646
10232423224
1110a219010
1265a08220
13391ca247
1422c224ac
1515611219
hexdda7f38

232423224 has 64 divisors (see below), whose sum is σ = 635264640. Its totient is φ = 70277760.

The previous prime is 232423199. The next prime is 232423229. The reversal of 232423224 is 422324232.

It is a happy number.

232423224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 232423194 and 232423203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232423229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199267 + ... + 200429.

It is an arithmetic number, because the mean of its divisors is an integer number (9926010).

Almost surely, 2232423224 is an apocalyptic number.

232423224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232423224 is an abundant number, since it is smaller than the sum of its proper divisors (402841416).

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

232423224 is a wasteful number, since it uses less digits than its factorization.

232423224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1936 counting only the distinct ones).

The product of its digits is 4608, while the sum is 24.

The square root of 232423224 is about 15245.4328898854. The cubic root of 232423224 is about 614.8367813276.

Adding to 232423224 its reverse (422324232), we get a palindrome (654747456).

The spelling of 232423224 in words is "two hundred thirty-two million, four hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 757 1163 1514 2271 2326 3028 3489 4542 4652 6056 6978 8327 9084 9304 12793 13956 16654 18168 24981 25586 27912 33308 38379 49962 51172 66616 76758 99924 102344 153516 199848 307032 880391 1760782 2641173 3521564 5282346 7043128 9684301 10564692 19368602 21129384 29052903 38737204 58105806 77474408 116211612 232423224