Search a number
-
+
12264220 = 22531131151
BaseRepresentation
bin101110110010…
…001100011100
3212002002100101
4232302030130
511114423340
61114510444
7206146513
oct56621434
925062311
1012264220
116a17321
124135424
132705347
1418b367a
151123c9a
hexbb231c

12264220 has 48 divisors (see below), whose sum is σ = 26966016. Its totient is φ = 4680000.

The previous prime is 12264211. The next prime is 12264223. The reversal of 12264220 is 2246221.

12264220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122642202 = 300822184416800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12264223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81145 + ... + 81295.

It is an arithmetic number, because the mean of its divisors is an integer number (561792).

Almost surely, 212264220 is an apocalyptic number.

12264220 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 12264220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13483008).

12264220 is an abundant number, since it is smaller than the sum of its proper divisors (14701796).

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

12264220 is a wasteful number, since it uses less digits than its factorization.

12264220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 12264220 is about 3502.0308393845. The cubic root of 12264220 is about 230.6109779397.

The spelling of 12264220 in words is "twelve million, two hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 131 151 155 262 302 310 524 604 620 655 755 1310 1510 2620 3020 4061 4681 8122 9362 16244 18724 19781 20305 23405 39562 40610 46810 79124 81220 93620 98905 197810 395620 613211 1226422 2452844 3066055 6132110 12264220