Search a number
-
+
122231445 = 3571768477
BaseRepresentation
bin1110100100100…
…01101010010101
322112000000000120
413102101222111
5222242401240
620043502153
73012643620
oct722215225
9275000016
10122231445
1162aa6326
1234b27959
131c4287cb
141233adb7
15aae6ad0
hex7491a95

122231445 has 32 divisors (see below), whose sum is σ = 236659968. Its totient is φ = 52589568.

The previous prime is 122231441. The next prime is 122231489. The reversal of 122231445 is 544132221.

It is not a de Polignac number, because 122231445 - 22 = 122231441 is a prime.

It is a super-3 number, since 3×1222314453 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122231441) 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 31 ways as a sum of consecutive naturals, for example, 32454 + ... + 36023.

It is an arithmetic number, because the mean of its divisors is an integer number (7395624).

Almost surely, 2122231445 is an apocalyptic number.

122231445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122231445 is a deficient number, since it is larger than the sum of its proper divisors (114428523).

122231445 is a wasteful number, since it uses less digits than its factorization.

122231445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68509.

The product of its digits is 1920, while the sum is 24.

The square root of 122231445 is about 11055.8330758021. The cubic root of 122231445 is about 496.2809999944.

Adding to 122231445 its reverse (544132221), we get a palindrome (666363666).

The spelling of 122231445 in words is "one hundred twenty-two million, two hundred thirty-one thousand, four hundred forty-five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 1785 68477 205431 342385 479339 1027155 1164109 1438017 2396695 3492327 5820545 7190085 8148763 17461635 24446289 40743815 122231445