Search a number
-
+
122431572 = 22323400877
BaseRepresentation
bin1110100110000…
…10100001010100
322112101011112200
413103002201110
5222320302242
620052044500
73014436234
oct723024124
9275334480
10122431572
116312271a
1235003730
131c498923
141238dcc4
15ab3604c
hex74c2854

122431572 has 18 divisors (see below), whose sum is σ = 309479898. Its totient is φ = 40810512.

The previous prime is 122431571. The next prime is 122431577. The reversal of 122431572 is 275134221.

It can be written as a sum of positive squares in only one way, i.e., 90554256 + 31877316 = 9516^2 + 5646^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122431571) 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 5 ways as a sum of consecutive naturals, for example, 1700403 + ... + 1700474.

Almost surely, 2122431572 is an apocalyptic number.

122431572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122431572 is an abundant number, since it is smaller than the sum of its proper divisors (187048326).

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

122431572 is a wasteful number, since it uses less digits than its factorization.

122431572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400887 (or 3400882 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 122431572 is about 11064.8801168381. The cubic root of 122431572 is about 496.5517024924.

Adding to 122431572 its reverse (275134221), we get a palindrome (397565793).

The spelling of 122431572 in words is "one hundred twenty-two million, four hundred thirty-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 3400877 6801754 10202631 13603508 20405262 30607893 40810524 61215786 122431572