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122888 = 2315361
BaseRepresentation
bin11110000000001000
320020120102
4132000020
512413023
62344532
71021163
oct360010
9206512
10122888
1184367
125b148
1343c1c
1432ada
1526628
hex1e008

122888 has 8 divisors (see below), whose sum is σ = 230430. Its totient is φ = 61440.

The previous prime is 122887. The next prime is 122891. The reversal of 122888 is 888221.

It can be written as a sum of positive squares in only one way, i.e., 91204 + 31684 = 302^2 + 178^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 122888.

It is not an unprimeable number, because it can be changed into a prime (122887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7673 + ... + 7688.

2122888 is an apocalyptic number.

It is an amenable number.

122888 is a deficient number, since it is larger than the sum of its proper divisors (107542).

122888 is a wasteful number, since it uses less digits than its factorization.

122888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15367 (or 15363 counting only the distinct ones).

The product of its digits is 2048, while the sum is 29.

The square root of 122888 is about 350.5538475042. The cubic root of 122888 is about 49.7167989720.

The spelling of 122888 in words is "one hundred twenty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 15361 30722 61444 122888