Search a number
-
+
12220000 = 25541347
BaseRepresentation
bin101110100111…
…011001100000
3211222211200121
4232213121200
511112020000
61113530024
7205603552
oct56473140
924884617
1012220000
116997081
124113914
1326bb190
1418a14d2
151115b1a
hexba7660

12220000 has 120 divisors (see below), whose sum is σ = 33064416. Its totient is φ = 4416000.

The previous prime is 12219997. The next prime is 12220003. The reversal of 12220000 is 2221.

It is a happy number.

12220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12219997) and next prime (12220003).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259977 + ... + 260023.

Almost surely, 212220000 is an apocalyptic number.

12220000 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 12220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16532208).

12220000 is an abundant number, since it is smaller than the sum of its proper divisors (20844416).

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

12220000 is an equidigital number, since it uses as much as digits as its factorization.

12220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 12220000 is about 3495.7116585897. The cubic root of 12220000 is about 230.3334797032. Note that the first 3 decimals are identical.

Adding to 12220000 its reverse (2221), we get a palindrome (12222221).

The spelling of 12220000 in words is "twelve million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 47 50 52 65 80 94 100 104 125 130 160 188 200 208 235 250 260 325 376 400 416 470 500 520 611 625 650 752 800 940 1000 1040 1175 1222 1250 1300 1504 1625 1880 2000 2080 2350 2444 2500 2600 3055 3250 3760 4000 4700 4888 5000 5200 5875 6110 6500 7520 8125 9400 9776 10000 10400 11750 12220 13000 15275 16250 18800 19552 20000 23500 24440 26000 29375 30550 32500 37600 47000 48880 52000 58750 61100 65000 76375 94000 97760 117500 122200 130000 152750 188000 235000 244400 260000 305500 381875 470000 488800 611000 763750 940000 1222000 1527500 2444000 3055000 6110000 12220000