Search a number
-
+
247257231 = 313171392683
BaseRepresentation
bin11101011110011…
…01100010001111
3122020020222011020
432233031202033
51001244212411
640311325223
76061436364
oct1657154217
9566228136
10247257231
11117630021
126a980813
133c2c2170
1424ba446b
1516a91606
hexebcd88f

247257231 has 32 divisors (see below), whose sum is σ = 378766080. Its totient is φ = 142124544.

The previous prime is 247257229. The next prime is 247257247. The reversal of 247257231 is 132752742.

It is not a de Polignac number, because 247257231 - 21 = 247257229 is a prime.

It is a super-2 number, since 2×2472572312 = 122272276563574722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247257192 and 247257201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247257251) 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 31 ways as a sum of consecutive naturals, for example, 90816 + ... + 93498.

It is an arithmetic number, because the mean of its divisors is an integer number (11836440).

Almost surely, 2247257231 is an apocalyptic number.

247257231 is a deficient number, since it is larger than the sum of its proper divisors (131508849).

247257231 is a wasteful number, since it uses less digits than its factorization.

247257231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855.

The product of its digits is 23520, while the sum is 33.

The square root of 247257231 is about 15724.4151242582. The cubic root of 247257231 is about 627.6482666318.

The spelling of 247257231 in words is "two hundred forty-seven million, two hundred fifty-seven thousand, two hundred thirty-one".

Divisors: 1 3 13 17 39 51 139 221 417 663 1807 2363 2683 5421 7089 8049 30719 34879 45611 92157 104637 136833 372937 592943 1118811 1778829 4848181 6339929 14544543 19019787 82419077 247257231