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2226322125 = 33531738803
BaseRepresentation
bin1000010010110010…
…1111101011001101
312202011012212211000
42010230233223031
514024414302000
61004525450513
7106112266026
oct20454575315
95664185730
102226322125
11a42778845
12521710a39
13296319591
1417196dc4d
15d06bb000
hex84b2facd

2226322125 has 64 divisors (see below), whose sum is σ = 4358465280. Its totient is φ = 1117497600.

The previous prime is 2226322123. The next prime is 2226322127. The reversal of 2226322125 is 5212236222.

2226322125 is a `hidden beast` number, since 2 + 2 + 2 + 632 + 2 + 1 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (2226322123) and next prime (2226322127).

It is not a de Polignac number, because 2226322125 - 21 = 2226322123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226322121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37974 + ... + 76776.

It is an arithmetic number, because the mean of its divisors is an integer number (68101020).

Almost surely, 22226322125 is an apocalyptic number.

2226322125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2226322125 is a deficient number, since it is larger than the sum of its proper divisors (2132143155).

2226322125 is a wasteful number, since it uses less digits than its factorization.

2226322125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38844 (or 38828 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2226322125 is about 47183.9180759716. The cubic root of 2226322125 is about 1305.7579161872.

Adding to 2226322125 its reverse (5212236222), we get a palindrome (7438558347).

The spelling of 2226322125 in words is "two billion, two hundred twenty-six million, three hundred twenty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 85 125 135 153 225 255 375 425 459 675 765 1125 1275 2125 2295 3375 3825 6375 11475 19125 38803 57375 116409 194015 349227 582045 659651 970075 1047681 1746135 1978953 2910225 3298255 4850375 5238405 5936859 8730675 9894765 14551125 16491275 17810577 26192025 29684295 43653375 49473825 82456375 89052885 130960125 148421475 247369125 445264425 742107375 2226322125