Search a number
-
+
2226141124 = 223127612
BaseRepresentation
bin1000010010110000…
…0011011111000100
312202010212200112021
42010230003133010
514024343003444
61004521532524
7106110613234
oct20454033704
95663780467
102226141124
11a42664859
12521644144
1329628508c
14171923cc4
15d0682584
hex84b037c4

2226141124 has 27 divisors (see below), whose sum is σ = 4030766733. Its totient is φ = 1075749600.

The previous prime is 2226141097. The next prime is 2226141131. The reversal of 2226141124 is 4211416222.

The square root of 2226141124 is 47182.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5846724 + 2220294400 = 2418^2 + 47120^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 2924904 + ... + 2925664.

Almost surely, 22226141124 is an apocalyptic number.

2226141124 is the 47182-nd square number.

It is an amenable number.

2226141124 is a deficient number, since it is larger than the sum of its proper divisors (1804625609).

2226141124 is an frugal number, since it uses more digits than its factorization.

2226141124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 794 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The cubic root of 2226141124 is about 1305.7225289909.

Multiplying 2226141124 by its sum of digits (25), we get a square (55653528100 = 2359102).

Adding to 2226141124 its reverse (4211416222), we get a palindrome (6437557346).

The spelling of 2226141124 in words is "two billion, two hundred twenty-six million, one hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 31 62 124 761 961 1522 1922 3044 3844 23591 47182 94364 579121 731321 1158242 1462642 2316484 2925284 17952751 35905502 71811004 556535281 1113070562 2226141124