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122200 = 23521347
BaseRepresentation
bin11101110101011000
320012121221
4131311120
512402300
62341424
71016161
oct356530
9205557
10122200
11838a1
125a874
1343810
1432768
152631a
hex1dd58

122200 has 48 divisors (see below), whose sum is σ = 312480. Its totient is φ = 44160.

The previous prime is 122173. The next prime is 122201. The reversal of 122200 is 2221.

122200 = T46 + T47 + ... + T93.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201) by changing a digit.

122200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2577 + ... + 2623.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2122200 is an apocalyptic number.

122200 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 122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

122200 is an abundant number, since it is smaller than the sum of its proper divisors (190280).

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

122200 is a wasteful number, since it uses less digits than its factorization.

122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 67 counting only the distinct ones).

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

The square root of 122200 is about 349.5711658590. The cubic root of 122200 is about 49.6238438948.

Adding to 122200 its reverse (2221), we get a palindrome (124421).

It can be divided in two parts, 1 and 22200, that added together give a square (22201 = 1492).

The spelling of 122200 in words is "one hundred twenty-two thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 13 20 25 26 40 47 50 52 65 94 100 104 130 188 200 235 260 325 376 470 520 611 650 940 1175 1222 1300 1880 2350 2444 2600 3055 4700 4888 6110 9400 12220 15275 24440 30550 61100 122200