Search a number
-
+
2270147031 = 32435866013
BaseRepresentation
bin1000011101001111…
…1011000111010111
312212012200102021200
42013103323013113
514122124201111
61013133043543
7110153634315
oct20723730727
95765612250
102270147031
11a65491079
125343265b3
132a2422089
141776db0b5
15d4476256
hex874fb1d7

2270147031 has 12 divisors (see below), whose sum is σ = 3355360008. Its totient is φ = 1478235024.

The previous prime is 2270147021. The next prime is 2270147041. The reversal of 2270147031 is 1307410722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2270147021) and next prime (2270147041).

It is not a de Polignac number, because 2270147031 - 210 = 2270146007 is a prime.

It is a super-2 number, since 2×22701470312 = 10307135084716229922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2270146986 and 2270147004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270147021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2932620 + ... + 2933393.

It is an arithmetic number, because the mean of its divisors is an integer number (279613334).

Almost surely, 22270147031 is an apocalyptic number.

2270147031 is a deficient number, since it is larger than the sum of its proper divisors (1085212977).

2270147031 is a wasteful number, since it uses less digits than its factorization.

2270147031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866062 (or 5866059 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2270147031 is about 47646.0599735172. The cubic root of 2270147031 is about 1314.2702039493.

Adding to 2270147031 its reverse (1307410722), we get a palindrome (3577557753).

The spelling of 2270147031 in words is "two billion, two hundred seventy million, one hundred forty-seven thousand, thirty-one".

Divisors: 1 3 9 43 129 387 5866013 17598039 52794117 252238559 756715677 2270147031