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2202122421 = 321797148381
BaseRepresentation
bin1000001101000001…
…1011100010110101
312200110200102001200
42003100123202311
514002220404141
61002303043113
7105366505662
oct20320334265
95613612050
102202122421
11a3004a194
125155a0499
132912c5725
1416c670a69
15cd4daab6
hex8341b8b5

2202122421 has 24 divisors (see below), whose sum is σ = 3402696024. Its totient is φ = 1367470080.

The previous prime is 2202122399. The next prime is 2202122437. The reversal of 2202122421 is 1242212022.

2202122421 is a `hidden beast` number, since 220 + 2 + 1 + 22 + 421 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 154107396 + 2048015025 = 12414^2 + 45255^2 .

It is a de Polignac number, because none of the positive numbers 2k-2202122421 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2202122394 and 2202122403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202122491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59350 + ... + 89031.

It is an arithmetic number, because the mean of its divisors is an integer number (141779001).

Almost surely, 22202122421 is an apocalyptic number.

It is an amenable number.

2202122421 is a deficient number, since it is larger than the sum of its proper divisors (1200573603).

2202122421 is a wasteful number, since it uses less digits than its factorization.

2202122421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148501 (or 148498 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2202122421 is about 46926.7772279325. Note that the first 3 decimals coincide. The cubic root of 2202122421 is about 1301.0095552434.

Adding to 2202122421 its reverse (1242212022), we get a palindrome (3444334443).

The spelling of 2202122421 in words is "two billion, two hundred two million, one hundred twenty-two thousand, four hundred twenty-one".

Divisors: 1 3 9 17 51 97 153 291 873 1649 4947 14841 148381 445143 1335429 2522477 7567431 14392957 22702293 43178871 129536613 244680269 734040807 2202122421