Search a number
-
+
2202062424 = 233476132003
BaseRepresentation
bin1000001101000000…
…1100111001011000
312200110120100202120
42003100030321120
514002211444144
61002301501240
7105366136032
oct20320147130
95613510676
102202062424
11a30009101
12515571820
132912a4323
1416c656c52
15cd4c7e19
hex8340ce58

2202062424 has 64 divisors (see below), whose sum is σ = 5714634240. Its totient is φ = 706604160.

The previous prime is 2202062417. The next prime is 2202062431. The reversal of 2202062424 is 4242602022.

It is an interprime number because it is at equal distance from previous prime (2202062417) and next prime (2202062431).

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

It is a junction number, because it is equal to n+sod(n) for n = 2202062394 and 2202062403.

It is a congruent number.

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, 52807 + ... + 84809.

It is an arithmetic number, because the mean of its divisors is an integer number (89291160).

Almost surely, 22202062424 is an apocalyptic number.

2202062424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202062424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857317120).

2202062424 is an abundant number, since it is smaller than the sum of its proper divisors (3512571816).

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

2202062424 is a wasteful number, since it uses less digits than its factorization.

2202062424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32120 (or 32116 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2202062424 is about 46926.1379616947. The cubic root of 2202062424 is about 1300.9977397666.

Adding to 2202062424 its reverse (4242602022), we get a palindrome (6444664446).

The spelling of 2202062424 in words is "two billion, two hundred two million, sixty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 61 94 122 141 183 188 244 282 366 376 488 564 732 1128 1464 2867 5734 8601 11468 17202 22936 32003 34404 64006 68808 96009 128012 192018 256024 384036 768072 1504141 1952183 3008282 3904366 4512423 5856549 6016564 7808732 9024846 11713098 12033128 15617464 18049692 23426196 36099384 46852392 91752601 183505202 275257803 367010404 550515606 734020808 1101031212 2202062424