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2232224214 = 231125358013
BaseRepresentation
bin1000010100001101…
…0000100111010110
312202120022201221220
42011003100213112
514032422133324
61005300151210
7106213410213
oct20503204726
95676281856
102232224214
11a4603a100
12523698506
13297604b3c
14172668b0a
15d0e84b79
hex850d09d6

2232224214 has 48 divisors (see below), whose sum is σ = 4999878576. Its totient is φ = 663657280.

The previous prime is 2232224209. The next prime is 2232224227. The reversal of 2232224214 is 4124222322.

It is a super-3 number, since 3×22322242143 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9472 + ... + 67484.

It is an arithmetic number, because the mean of its divisors is an integer number (104164137).

Almost surely, 22232224214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232224214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499939288).

2232224214 is an abundant number, since it is smaller than the sum of its proper divisors (2767654362).

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

2232224214 is a wasteful number, since it uses less digits than its factorization.

2232224214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58093 (or 58082 counting only the distinct ones).

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

The square root of 2232224214 is about 47246.4201183539. The cubic root of 2232224214 is about 1306.9107740898.

Adding to 2232224214 its reverse (4124222322), we get a palindrome (6356446536).

The spelling of 2232224214 in words is "two billion, two hundred thirty-two million, two hundred twenty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 53 66 106 121 159 242 318 363 583 726 1166 1749 3498 6413 12826 19239 38478 58013 116026 174039 348078 638143 1276286 1914429 3074689 3828858 6149378 7019573 9224067 14039146 18448134 21058719 33821579 42117438 67643158 101464737 202929474 372037369 744074738 1116112107 2232224214