Search a number
-
+
12220040 = 2357192297
BaseRepresentation
bin101110100111…
…011010001000
3211222211202002
4232213122020
511112020130
61113530132
7205603640
oct56473210
924884662
1012220040
116997108
124113948
1326bb1c1
1418a1520
151115b45
hexba7688

12220040 has 64 divisors (see below), whose sum is σ = 33091200. Its totient is φ = 3967488.

The previous prime is 12220037. The next prime is 12220081. The reversal of 12220040 is 4002221.

12220040 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12220040 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4172 + ... + 6468.

It is an arithmetic number, because the mean of its divisors is an integer number (517050).

Almost surely, 212220040 is an apocalyptic number.

12220040 is a gapful number since it is divisible by the number (10) 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 12220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16545600).

12220040 is an abundant number, since it is smaller than the sum of its proper divisors (20871160).

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

12220040 is a wasteful number, since it uses less digits than its factorization.

12220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 12220040 is about 3495.7173798807. The cubic root of 12220040 is about 230.3337310215. Note that the first 3 decimals are identical.

Adding to 12220040 its reverse (4002221), we get a palindrome (16222261).

The spelling of 12220040 in words is "twelve million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2297 2660 4594 5320 9188 11485 16079 18376 22970 32158 43643 45940 64316 80395 87286 91880 128632 160790 174572 218215 305501 321580 349144 436430 611002 643160 872860 1222004 1527505 1745720 2444008 3055010 6110020 12220040