Search a number
-
+
230370507 = 332321272
BaseRepresentation
bin11011011101100…
…10110011001011
3121001111000221000
431232302303023
5432433324012
634505350043
75465055063
oct1556626313
9531430830
10230370507
11109046854
1265198323
133895bb13
142284a3a3
1515357ddc
hexdbb2ccb

230370507 has 36 divisors (see below), whose sum is σ = 359604840. Its totient is φ = 145746216.

The previous prime is 230370499. The next prime is 230370523. The reversal of 230370507 is 705073032.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 230370507 - 23 = 230370499 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (230370607) 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 35 ways as a sum of consecutive naturals, for example, 1813878 + ... + 1814004.

Almost surely, 2230370507 is an apocalyptic number.

230370507 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

230370507 is a deficient number, since it is larger than the sum of its proper divisors (129234333).

230370507 is an equidigital number, since it uses as much as digits as its factorization.

230370507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 230370507 is about 15177.9612267261. The cubic root of 230370507 is about 613.0213865068.

Multiplying 230370507 by its sum of digits (27), we get a square (6220003689 = 788672).

230370507 divided by its sum of digits (27) gives a square (8532241 = 29212).

The spelling of 230370507 in words is "two hundred thirty million, three hundred seventy thousand, five hundred seven".

Divisors: 1 3 9 23 27 69 127 207 381 529 621 1143 1587 2921 3429 4761 8763 14283 16129 26289 48387 67183 78867 145161 201549 370967 435483 604647 1112901 1813941 3338703 8532241 10016109 25596723 76790169 230370507