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122220553 = 7213313613
BaseRepresentation
bin1110100100011…
…11000000001001
322111222110002011
413102033000021
5222242024203
620043335521
73012600100
oct722170011
9274873064
10122220553
1162a99124
1234b215a1
131c423870
1412337037
15aae376d
hex748f009

122220553 has 24 divisors (see below), whose sum is σ = 153851208. Its totient is φ = 96235776.

The previous prime is 122220547. The next prime is 122220557. The reversal of 122220553 is 355022221.

It can be written as a sum of positive squares in 4 ways, for example, as 30118144 + 92102409 = 5488^2 + 9597^2 .

It is not a de Polignac number, because 122220553 - 29 = 122220041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122220557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199075 + ... + 199687.

It is an arithmetic number, because the mean of its divisors is an integer number (6410467).

Almost surely, 2122220553 is an apocalyptic number.

122220553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122220553 is a deficient number, since it is larger than the sum of its proper divisors (31630655).

122220553 is a wasteful number, since it uses less digits than its factorization.

122220553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 122220553 is about 11055.3404741781. The cubic root of 122220553 is about 496.2662584162.

Adding to 122220553 its reverse (355022221), we get a palindrome (477242774).

The spelling of 122220553 in words is "one hundred twenty-two million, two hundred twenty thousand, five hundred fifty-three".

Divisors: 1 7 13 49 91 313 613 637 2191 4069 4291 7969 15337 28483 30037 55783 191869 199381 390481 1343083 2494297 9401581 17460079 122220553