Search a number
-
+
220332132 = 223219833881
BaseRepresentation
bin11010010001000…
…00000001100100
3120100121000212100
431020200001210
5422401112012
633510252100
75313535506
oct1510400144
9510530770
10220332132
1110340a879
1261957030
1336855957
1421395d76
15145238dc
hexd220064

220332132 has 72 divisors (see below), whose sum is σ = 593480160. Its totient is φ = 68722560.

The previous prime is 220332131. The next prime is 220332139. The reversal of 220332132 is 231233022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220332131) 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, 54832 + ... + 58712.

It is an arithmetic number, because the mean of its divisors is an integer number (8242780).

Almost surely, 2220332132 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 220332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296740080).

220332132 is an abundant number, since it is smaller than the sum of its proper divisors (373148028).

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

220332132 is a wasteful number, since it uses less digits than its factorization.

220332132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 220332132 is about 14843.5889191260. The cubic root of 220332132 is about 603.9847115409.

Adding to 220332132 its reverse (231233022), we get a palindrome (451565154).

The spelling of 220332132 in words is "two hundred twenty million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 83 114 166 171 228 249 332 342 498 684 747 996 1494 1577 2988 3154 3881 4731 6308 7762 9462 11643 14193 15524 18924 23286 28386 34929 46572 56772 69858 73739 139716 147478 221217 294956 322123 442434 644246 663651 884868 966369 1288492 1327302 1932738 2654604 2899107 3865476 5798214 6120337 11596428 12240674 18361011 24481348 36722022 55083033 73444044 110166066 220332132