Search a number
-
+
12200010 = 2352937379
BaseRepresentation
bin101110100010…
…100001001010
3211221211021020
4232202201022
511110400020
61113253310
7205461354
oct56424112
924854236
1012200010
116983059
124104236
1326b2054
1418980d4
15110ec40
hexba284a

12200010 has 64 divisors (see below), whose sum is σ = 31190400. Its totient is φ = 3048192.

The previous prime is 12200009. The next prime is 12200011. The reversal of 12200010 is 1000221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12200009) and next prime (12200011).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12200011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32001 + ... + 32379.

It is an arithmetic number, because the mean of its divisors is an integer number (487350).

Almost surely, 212200010 is an apocalyptic number.

12200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595200).

12200010 is an abundant number, since it is smaller than the sum of its proper divisors (18990390).

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

12200010 is a wasteful number, since it uses less digits than its factorization.

12200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12200010 is about 3492.8512708101. The cubic root of 12200010 is about 230.2078146946.

Adding to 12200010 its reverse (1000221), we get a palindrome (13200231).

The spelling of 12200010 in words is "twelve million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 37 58 74 87 111 145 174 185 222 290 370 379 435 555 758 870 1073 1110 1137 1895 2146 2274 3219 3790 5365 5685 6438 10730 10991 11370 14023 16095 21982 28046 32190 32973 42069 54955 65946 70115 84138 109910 140230 164865 210345 329730 406667 420690 813334 1220001 2033335 2440002 4066670 6100005 12200010