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12200000 = 265561
BaseRepresentation
bin101110100010…
…100001000000
3211221211020212
4232202201000
511110400000
61113253252
7205461341
oct56424100
924854225
1012200000
11698304a
124104228
1326b2047
1418980c8
15110ec35
hexba2840

12200000 has 84 divisors (see below), whose sum is σ = 30755844. Its totient is φ = 4800000.

The previous prime is 12199997. The next prime is 12200009. The reversal of 12200000 is 221.

It can be written as a sum of positive squares in 6 ways, for example, as 11999296 + 200704 = 3464^2 + 448^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (12200009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199970 + ... + 200030.

It is an arithmetic number, because the mean of its divisors is an integer number (366141).

Almost surely, 212200000 is an apocalyptic number.

12200000 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 12200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377922).

12200000 is an abundant number, since it is smaller than the sum of its proper divisors (18555844).

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

12200000 is an frugal number, since it uses more digits than its factorization.

12200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 12200000 is about 3492.8498393146. The cubic root of 12200000 is about 230.2077517963.

Adding to 12200000 its reverse (221), we get a palindrome (12200221).

The spelling of 12200000 in words is "twelve million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 160 200 244 250 305 320 400 488 500 610 625 800 976 1000 1220 1250 1525 1600 1952 2000 2440 2500 3050 3125 3904 4000 4880 5000 6100 6250 7625 8000 9760 10000 12200 12500 15250 19520 20000 24400 25000 30500 38125 40000 48800 50000 61000 76250 97600 100000 122000 152500 190625 200000 244000 305000 381250 488000 610000 762500 1220000 1525000 2440000 3050000 6100000 12200000