Search a number
-
+
122055144 = 23361263317
BaseRepresentation
bin1110100011001…
…10100111101000
322111200001011220
413101212213220
5222221231034
620040022040
73011310621
oct721464750
9274601156
10122055144
1162995922
1234a61920
131c3964a3
14122d2a48
15aaae749
hex74669e8

122055144 has 64 divisors (see below), whose sum is σ = 312301440. Its totient is φ = 39740160.

The previous prime is 122055127. The next prime is 122055161. The reversal of 122055144 is 441550221.

It is an interprime number because it is at equal distance from previous prime (122055127) and next prime (122055161).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384874 + ... + 385190.

It is an arithmetic number, because the mean of its divisors is an integer number (4879710).

Almost surely, 2122055144 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 122055144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156150720).

122055144 is an abundant number, since it is smaller than the sum of its proper divisors (190246296).

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

122055144 is a wasteful number, since it uses less digits than its factorization.

122055144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 122055144 is about 11047.8569867644. The cubic root of 122055144 is about 496.0422809084.

The spelling of 122055144 in words is "one hundred twenty-two million, fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 263 317 366 488 526 634 732 789 951 1052 1268 1464 1578 1902 2104 2536 3156 3804 6312 7608 16043 19337 32086 38674 48129 58011 64172 77348 83371 96258 116022 128344 154696 166742 192516 232044 250113 333484 385032 464088 500226 666968 1000452 2000904 5085631 10171262 15256893 20342524 30513786 40685048 61027572 122055144