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122224130 = 2572249437
BaseRepresentation
bin1110100100011…
…11111000000010
322111222121222122
413102033320002
5222242133010
620043404242
73012613400
oct722177002
9274877878
10122224130
1162aa0886
1234b23682
131c425392
1412338470
15aae4855
hex748fe02

122224130 has 24 divisors (see below), whose sum is σ = 255923388. Its totient is φ = 41905248.

The previous prime is 122224121. The next prime is 122224133. The reversal of 122224130 is 31422221.

It can be written as a sum of positive squares in 2 ways, for example, as 103449241 + 18774889 = 10171^2 + 4333^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122224099 and 122224108.

It is not an unprimeable number, because it can be changed into a prime (122224133) by changing a digit.

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, 124229 + ... + 125208.

Almost surely, 2122224130 is an apocalyptic number.

122224130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122224130 is an abundant number, since it is smaller than the sum of its proper divisors (133699258).

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

122224130 is a wasteful number, since it uses less digits than its factorization.

122224130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249458 (or 249451 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 122224130 is about 11055.5022500111. The cubic root of 122224130 is about 496.2710997380.

Adding to 122224130 its reverse (31422221), we get a palindrome (153646351).

It can be divided in two parts, 1222 and 24130, that added together give a palindrome (25352).

The spelling of 122224130 in words is "one hundred twenty-two million, two hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 249437 498874 1247185 1746059 2494370 3492118 8730295 12222413 17460590 24444826 61112065 122224130