Search a number
-
+
12220032 = 273112263
BaseRepresentation
bin101110100111…
…011010000000
3211222211201210
4232213122000
511112020112
61113530120
7205603626
oct56473200
924884653
1012220032
116997100
124113940
1326bb1b6
1418a1516
151115b3c
hexba7680

12220032 has 96 divisors (see below), whose sum is σ = 35814240. Its totient is φ = 3688960.

The previous prime is 12220031. The next prime is 12220037. The reversal of 12220032 is 23002221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12220031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46333 + ... + 46595.

It is an arithmetic number, because the mean of its divisors is an integer number (373065).

Almost surely, 212220032 is an apocalyptic number.

12220032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17907120).

12220032 is an abundant number, since it is smaller than the sum of its proper divisors (23594208).

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

12220032 is a wasteful number, since it uses less digits than its factorization.

12220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12220032 is about 3495.7162356233. The cubic root of 12220032 is about 230.3336807579. Note that the first 3 decimals are identical.

Adding to 12220032 its reverse (23002221), we get a palindrome (35222253).

The spelling of 12220032 in words is "twelve million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 263 264 352 363 384 484 526 528 704 726 789 968 1052 1056 1408 1452 1578 1936 2104 2112 2893 2904 3156 3872 4208 4224 5786 5808 6312 7744 8416 8679 11572 11616 12624 15488 16832 17358 23144 23232 25248 31823 33664 34716 46288 46464 50496 63646 69432 92576 95469 100992 127292 138864 185152 190938 254584 277728 370304 381876 509168 555456 763752 1018336 1110912 1527504 2036672 3055008 4073344 6110016 12220032