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122330200 = 23523831597
BaseRepresentation
bin1110100101010…
…01110001011000
322112012000111011
413102221301120
5222304031300
620045543304
73013534546
oct722516130
9275160434
10122330200
1163063543
1234b74b34
131c461745
1412364d96
15ab15eba
hex74a9c58

122330200 has 48 divisors (see below), whose sum is σ = 285338880. Its totient is φ = 48773760.

The previous prime is 122330191. The next prime is 122330239. The reversal of 122330200 is 2033221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75802 + ... + 77398.

It is an arithmetic number, because the mean of its divisors is an integer number (5944560).

Almost surely, 2122330200 is an apocalyptic number.

122330200 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 122330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142669440).

122330200 is an abundant number, since it is smaller than the sum of its proper divisors (163008680).

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

122330200 is a wasteful number, since it uses less digits than its factorization.

122330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 122330200 is about 11060.2983684890. The cubic root of 122330200 is about 496.4146181946.

Adding to 122330200 its reverse (2033221), we get a palindrome (124363421).

The spelling of 122330200 in words is "one hundred twenty-two million, three hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 383 766 1532 1597 1915 3064 3194 3830 6388 7660 7985 9575 12776 15320 15970 19150 31940 38300 39925 63880 76600 79850 159700 319400 611651 1223302 2446604 3058255 4893208 6116510 12233020 15291275 24466040 30582550 61165100 122330200