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32223228 = 22317191827
BaseRepresentation
bin111101011101…
…0111111111100
32020122002221220
41322322333330
531222120403
63110353340
7540615162
oct172727774
966562856
1032223228
1117209874
12a95b850
1368a2bcb
1443cb232
152c67953
hex1ebaffc

32223228 has 48 divisors (see below), whose sum is σ = 80123904. Its totient is φ = 10044160.

The previous prime is 32223227. The next prime is 32223239. The reversal of 32223228 is 82232223.

It is a junction number, because it is equal to n+sod(n) for n = 32223198 and 32223207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32223227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38551 + ... + 39377.

It is an arithmetic number, because the mean of its divisors is an integer number (1669248).

Almost surely, 232223228 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 32223228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40061952).

32223228 is an abundant number, since it is smaller than the sum of its proper divisors (47900676).

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

32223228 is a wasteful number, since it uses less digits than its factorization.

32223228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1040 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 32223228 is about 5676.5507132413. The cubic root of 32223228 is about 318.2167344935.

The spelling of 32223228 in words is "thirty-two million, two hundred twenty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 191 204 382 573 764 827 1146 1654 2292 2481 3247 3308 4962 6494 9741 9924 12988 14059 19482 28118 38964 42177 56236 84354 157957 168708 315914 473871 631828 947742 1895484 2685269 5370538 8055807 10741076 16111614 32223228