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23223432 = 2332961547
BaseRepresentation
bin101100010010…
…1110010001000
31121200212120010
41120211302020
521421122212
62145431520
7401252541
oct130456210
947625503
1023223432
1112122121
12793b5a0
134a7169b
1431274c8
15208b03c
hex1625c88

23223432 has 64 divisors (see below), whose sum is σ = 61156800. Its totient is φ = 7338240.

The previous prime is 23223401. The next prime is 23223439. The reversal of 23223432 is 23432232.

23223432 is nontrivially palindromic in base 11.

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 = 23223399 and 23223408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23223439) 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, 42183 + ... + 42729.

It is an arithmetic number, because the mean of its divisors is an integer number (955575).

Almost surely, 223223432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23223432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30578400).

23223432 is an abundant number, since it is smaller than the sum of its proper divisors (37933368).

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

23223432 is a wasteful number, since it uses less digits than its factorization.

23223432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its digits is 1728, while the sum is 21.

The square root of 23223432 is about 4819.0696197503. The cubic root of 23223432 is about 285.3046173584.

Adding to 23223432 its reverse (23432232), we get a palindrome (46655664).

The spelling of 23223432 in words is "twenty-three million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 61 87 116 122 174 183 232 244 348 366 488 547 696 732 1094 1464 1641 1769 2188 3282 3538 4376 5307 6564 7076 10614 13128 14152 15863 21228 31726 33367 42456 47589 63452 66734 95178 100101 126904 133468 190356 200202 266936 380712 400404 800808 967643 1935286 2902929 3870572 5805858 7741144 11611716 23223432