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332196 = 223193147
BaseRepresentation
bin1010001000110100100
3121212200120
41101012210
541112241
611041540
72552334
oct1210644
9555616
10332196
11207647
121402b0
13b8287
14890c4
1568666
hex511a4

332196 has 48 divisors (see below), whose sum is σ = 860160. Its totient is φ = 99360.

The previous prime is 332191. The next prime is 332201. The reversal of 332196 is 691233.

It is an interprime number because it is at equal distance from previous prime (332191) and next prime (332201).

It is a super-2 number, since 2×3321962 = 220708364832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7045 + ... + 7091.

It is an arithmetic number, because the mean of its divisors is an integer number (17920).

2332196 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 332196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430080).

332196 is an abundant number, since it is smaller than the sum of its proper divisors (527964).

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

332196 is a wasteful number, since it uses less digits than its factorization.

332196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 332196 is about 576.3644680235. The cubic root of 332196 is about 69.2571792876.

It can be divided in two parts, 332 and 196, that added together give a triangular number (528 = T32).

The spelling of 332196 in words is "three hundred thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 31 38 47 57 62 76 93 94 114 124 141 186 188 228 282 372 564 589 893 1178 1457 1767 1786 2356 2679 2914 3534 3572 4371 5358 5828 7068 8742 10716 17484 27683 55366 83049 110732 166098 332196