Search a number
-
+
122226832 = 24713127661
BaseRepresentation
bin1110100100100…
…00100010010000
322111222202200201
413102100202100
5222242224312
620043424544
73012624310
oct722204220
9274882621
10122226832
1162aa2912
1234b25154
131c426690
1412339440
15aae5557
hex7490890

122226832 has 80 divisors (see below), whose sum is σ = 294203392. Its totient is φ = 47900160.

The previous prime is 122226809. The next prime is 122226833. The reversal of 122226832 is 238622221.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122226832.

It is not an unprimeable number, because it can be changed into a prime (122226833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184582 + ... + 185242.

Almost surely, 2122226832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122226832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147101696).

122226832 is an abundant number, since it is smaller than the sum of its proper divisors (171976560).

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

122226832 is a wasteful number, since it uses less digits than its factorization.

122226832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 122226832 is about 11055.6244509299. The cubic root of 122226832 is about 496.2747567208.

The spelling of 122226832 in words is "one hundred twenty-two million, two hundred twenty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 127 182 208 254 364 508 661 728 889 1016 1322 1456 1651 1778 2032 2644 3302 3556 4627 5288 6604 7112 8593 9254 10576 11557 13208 14224 17186 18508 23114 26416 34372 37016 46228 60151 68744 74032 83947 92456 120302 137488 167894 184912 240604 335788 481208 587629 671576 962416 1091311 1175258 1343152 2182622 2350516 4365244 4701032 7639177 8730488 9402064 15278354 17460976 30556708 61113416 122226832