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2225314104 = 233137132417
BaseRepresentation
bin1000010010100011…
…1001100100111000
312202002022200001220
42010220321210320
514024140022404
61004452112040
7106100600136
oct20450714470
95662280056
102225314104
11a4214a472
12521305620
13296055810
1417178a756
15d056c4d9
hex84a39938

2225314104 has 32 divisors (see below), whose sum is σ = 5991231120. Its totient is φ = 684711936.

The previous prime is 2225314087. The next prime is 2225314109. The reversal of 2225314104 is 4014135222.

It is a super-2 number, since 2×22253141042 = 9904045722922645632, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225314109) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3565897 + ... + 3566520.

Almost surely, 22225314104 is an apocalyptic number.

2225314104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2225314104 is an abundant number, since it is smaller than the sum of its proper divisors (3765917016).

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

2225314104 is a wasteful number, since it uses less digits than its factorization.

2225314104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132439 (or 7132435 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2225314104 is about 47173.2350385258. The cubic root of 2225314104 is about 1305.5608153143.

Adding to 2225314104 its reverse (4014135222), we get a palindrome (6239449326).

The spelling of 2225314104 in words is "two billion, two hundred twenty-five million, three hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 7132417 14264834 21397251 28529668 42794502 57059336 85589004 92721421 171178008 185442842 278164263 370885684 556328526 741771368 1112657052 2225314104