Search a number
-
+
12200020 = 2257259211
BaseRepresentation
bin101110100010…
…100001010100
3211221211021121
4232202201110
511110400040
61113253324
7205461400
oct56424124
924854247
1012200020
116983068
124104244
1326b2061
141898100
15110ec4a
hexba2854

12200020 has 72 divisors (see below), whose sum is σ = 30451680. Its totient is φ = 4092480.

The previous prime is 12200011. The next prime is 12200029. The reversal of 12200020 is 2000221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12200011) and next prime (12200029).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 12199976 and 12200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200029) 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, 57715 + ... + 57925.

It is an arithmetic number, because the mean of its divisors is an integer number (422940).

Almost surely, 212200020 is an apocalyptic number.

12200020 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 12200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15225840).

12200020 is an abundant number, since it is smaller than the sum of its proper divisors (18251660).

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

12200020 is a wasteful number, since it uses less digits than its factorization.

12200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

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

The square root of 12200020 is about 3492.8527023051. The cubic root of 12200020 is about 230.2078775928.

Adding to 12200020 its reverse (2000221), we get a palindrome (14200241).

The spelling of 12200020 in words is "twelve million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 59 70 98 118 140 196 211 236 245 295 413 422 490 590 826 844 980 1055 1180 1477 1652 2065 2110 2891 2954 4130 4220 5782 5908 7385 8260 10339 11564 12449 14455 14770 20678 24898 28910 29540 41356 49796 51695 57820 62245 87143 103390 124490 174286 206780 248980 348572 435715 610001 871430 1220002 1742860 2440004 3050005 6100010 12200020