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230472627 = 37211236197
BaseRepresentation
bin11011011110010…
…11101110110011
3121001200020000020
431233023232303
5433000111002
634511454523
75465661600
oct1557135663
9531606006
10230472627
11109106550
1265227443
1338996448
14228756a7
15153782bc
hexdbcbbb3

230472627 has 48 divisors (see below), whose sum is σ = 406985472. Its totient is φ = 114502080.

The previous prime is 230472617. The next prime is 230472637. The reversal of 230472627 is 726274032.

It is an interprime number because it is at equal distance from previous prime (230472617) and next prime (230472637).

It is not a de Polignac number, because 230472627 - 24 = 230472611 is a prime.

It is a super-2 number, since 2×2304726272 = 106235263592562258, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (230472617) 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 47 ways as a sum of consecutive naturals, for example, 34093 + ... + 40289.

It is an arithmetic number, because the mean of its divisors is an integer number (8478864).

Almost surely, 2230472627 is an apocalyptic number.

230472627 is a deficient number, since it is larger than the sum of its proper divisors (176512845).

230472627 is a wasteful number, since it uses less digits than its factorization.

230472627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 230472627 is about 15181.3249421781. The cubic root of 230472627 is about 613.1119543735. Note that the first 3 decimals are identical.

The spelling of 230472627 in words is "two hundred thirty million, four hundred seventy-two thousand, six hundred twenty-seven".

Divisors: 1 3 7 11 21 23 33 49 69 77 147 161 231 253 483 539 759 1127 1617 1771 3381 5313 6197 12397 18591 37191 43379 68167 130137 142531 204501 303653 427593 477169 910959 997717 1431507 1567841 2993151 3340183 4703523 6984019 10020549 10974887 20952057 32924661 76824209 230472627