Search a number
-
+
122591224 = 2373117039
BaseRepresentation
bin1110100111010…
…01011111111000
322112200021112201
413103221133320
5222340404344
620055315544
73016002550
oct723513770
9275607481
10122591224
1163221668
123507bbb4
131c5234b2
14123d2160
15ab684d4
hex74e97f8

122591224 has 32 divisors (see below), whose sum is σ = 263577600. Its totient is φ = 52362720.

The previous prime is 122591221. The next prime is 122591239. The reversal of 122591224 is 422195221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 122591192 and 122591201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122591221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13897 + ... + 20935.

It is an arithmetic number, because the mean of its divisors is an integer number (8236800).

Almost surely, 2122591224 is an apocalyptic number.

122591224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122591224 is an abundant number, since it is smaller than the sum of its proper divisors (140986376).

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

122591224 is a wasteful number, since it uses less digits than its factorization.

122591224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7363 (or 7359 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 122591224 is about 11072.0921238942. The cubic root of 122591224 is about 496.7674448792.

The spelling of 122591224 in words is "one hundred twenty-two million, five hundred ninety-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 311 622 1244 2177 2488 4354 7039 8708 14078 17416 28156 49273 56312 98546 197092 394184 2189129 4378258 8756516 15323903 17513032 30647806 61295612 122591224