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2232202122 = 232821151049
BaseRepresentation
bin1000010100001100…
…1011001110001010
312202120021121122200
42011003023032022
514032420431442
61005255501030
7106213255623
oct20503131612
95676247580
102232202122
11a46024547
12523687776
132975c7a77
14172660a4a
15d0e7d34c
hex850cb38a

2232202122 has 24 divisors (see below), whose sum is σ = 4842360900. Its totient is φ = 743156160.

The previous prime is 2232202087. The next prime is 2232202139. The reversal of 2232202122 is 2212022322.

It can be written as a sum of positive squares in 2 ways, for example, as 2226046761 + 6155361 = 47181^2 + 2481^2 .

It is a super-3 number, since 3×22322021223 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2232202095 and 2232202104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60747 + ... + 90302.

Almost surely, 22232202122 is an apocalyptic number.

2232202122 is an abundant number, since it is smaller than the sum of its proper divisors (2610158778).

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

2232202122 is a wasteful number, since it uses less digits than its factorization.

2232202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151878 (or 151875 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2232202122 is about 47246.1863222843. The cubic root of 2232202122 is about 1306.9064626400.

Adding to 2232202122 its reverse (2212022322), we get a palindrome (4444224444).

The spelling of 2232202122 in words is "two billion, two hundred thirty-two million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 821 1642 2463 4926 7389 14778 151049 302098 453147 906294 1359441 2718882 124011229 248022458 372033687 744067374 1116101061 2232202122