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332425120 = 2556013457
BaseRepresentation
bin10011110100000…
…110011110100000
3212011111221112111
4103310012132200
51140100100440
652553005104
711144365306
oct2364063640
9764457474
10332425120
11160710a05
12933b3794
1353b41871
1432214276
151e2b64ea
hex13d067a0

332425120 has 48 divisors (see below), whose sum is σ = 786888648. Its totient is φ = 132710400.

The previous prime is 332425117. The next prime is 332425129. The reversal of 332425120 is 21524233.

It can be written as a sum of positive squares in 4 ways, for example, as 223681936 + 108743184 = 14956^2 + 10428^2 .

It is a super-2 number, since 2×3324251202 = 221012920814028800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332425091 and 332425100.

It is not an unprimeable number, because it can be changed into a prime (332425129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 94432 + ... + 97888.

Almost surely, 2332425120 is an apocalyptic number.

It is an amenable number.

332425120 is an abundant number, since it is smaller than the sum of its proper divisors (454463528).

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

332425120 is a wasteful number, since it uses less digits than its factorization.

332425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 332425120 is about 18232.5291717852. The cubic root of 332425120 is about 692.7309816091.

Adding to 332425120 its reverse (21524233), we get a palindrome (353949353).

The spelling of 332425120 in words is "three hundred thirty-two million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 601 1202 2404 3005 3457 4808 6010 6914 9616 12020 13828 17285 19232 24040 27656 34570 48080 55312 69140 96160 110624 138280 276560 553120 2077657 4155314 8310628 10388285 16621256 20776570 33242512 41553140 66485024 83106280 166212560 332425120