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233425332 = 223275571663
BaseRepresentation
bin11011110100111…
…00100110110100
3121021020020100200
431322130212310
5434224102312
635055040500
75533040220
oct1572344664
9537206320
10233425332
1110a8429a8
1266210130
133948b3ca
1423003780
151575d0dc
hexde9c9b4

233425332 has 72 divisors (see below), whose sum is σ = 675956736. Its totient is φ = 66533184.

The previous prime is 233425273. The next prime is 233425333. The reversal of 233425332 is 233524332.

233425332 is a `hidden beast` number, since 233 + 425 + 3 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 233425296 and 233425305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233425333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139533 + ... + 141195.

It is an arithmetic number, because the mean of its divisors is an integer number (9388288).

Almost surely, 2233425332 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 233425332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337978368).

233425332 is an abundant number, since it is smaller than the sum of its proper divisors (442531404).

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

233425332 is a wasteful number, since it uses less digits than its factorization.

233425332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2232 counting only the distinct ones).

The product of its digits is 12960, while the sum is 27.

The square root of 233425332 is about 15278.2633829896. The cubic root of 233425332 is about 615.7191508008.

Adding to 233425332 its reverse (233524332), we get a palindrome (466949664).

The spelling of 233425332 in words is "two hundred thirty-three million, four hundred twenty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 557 1114 1663 1671 2228 3326 3342 3899 4989 5013 6652 6684 7798 9978 10026 11641 11697 14967 15596 19956 20052 23282 23394 29934 34923 35091 46564 46788 59868 69846 70182 104769 139692 140364 209538 419076 926291 1852582 2778873 3705164 5557746 6484037 8336619 11115492 12968074 16673238 19452111 25936148 33346476 38904222 58356333 77808444 116712666 233425332