Search a number
-
+
2174077129 = 7266612
BaseRepresentation
bin1000000110010101…
…1100100011001001
312121111220120011011
42001211130203021
513423030432004
6555422003521
7104606231200
oct20145344311
95544816134
102174077129
11a16234364
125081165a1
13288556393
14168a50237
15caceb004
hex8195c8c9

2174077129 has 9 divisors (see below), whose sum is σ = 2529408231. Its totient is φ = 1863214920.

The previous prime is 2174077121. The next prime is 2174077159. The reversal of 2174077129 is 9217704712.

The square root of 2174077129 is 46627.

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., 2045481529 + 128595600 = 45227^2 + 11340^2 .

It is not a de Polignac number, because 2174077129 - 23 = 2174077121 is a prime.

It is a super-2 number, since 2×21740771292 = 9453222725681765282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2174077091 and 2174077100.

It is not an unprimeable number, because it can be changed into a prime (2174077121) 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 8 ways as a sum of consecutive naturals, for example, 323059 + ... + 329719.

It is an arithmetic number, because the mean of its divisors is an integer number (281045359).

Almost surely, 22174077129 is an apocalyptic number.

2174077129 is the 46627-th square number.

2174077129 is the 23314-th centered octagonal number.

It is an amenable number.

2174077129 is a deficient number, since it is larger than the sum of its proper divisors (355331102).

2174077129 is an frugal number, since it uses more digits than its factorization.

2174077129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13336 (or 6668 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 40.

The cubic root of 2174077129 is about 1295.4629073132.

The spelling of 2174077129 in words is "two billion, one hundred seventy-four million, seventy-seven thousand, one hundred twenty-nine".

Divisors: 1 7 49 6661 46627 326389 44368921 310582447 2174077129