Search a number
-
+
146916231 = 3711647983
BaseRepresentation
bin10001100000111…
…00001110000111
3101020110010011220
420300130032013
5300102304411
622324531423
73432524130
oct1060341607
9336403156
10146916231
1175a26380
1241250b73
132458c3a7
1415724c87
15cd70b06
hex8c1c387

146916231 has 32 divisors (see below), whose sum is σ = 244850688. Its totient is φ = 76124640.

The previous prime is 146916229. The next prime is 146916239. The reversal of 146916231 is 132619641.

It is not a de Polignac number, because 146916231 - 21 = 146916229 is a prime.

It is a super-2 number, since 2×1469162312 = 43168757862490722, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 146916192 and 146916201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146916239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148966 + ... + 149948.

It is an arithmetic number, because the mean of its divisors is an integer number (7651584).

Almost surely, 2146916231 is an apocalyptic number.

146916231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

146916231 is a deficient number, since it is larger than the sum of its proper divisors (97934457).

146916231 is a wasteful number, since it uses less digits than its factorization.

146916231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651.

The product of its digits is 7776, while the sum is 33.

The square root of 146916231 is about 12120.9005853526. The cubic root of 146916231 is about 527.6629398636.

The spelling of 146916231 in words is "one hundred forty-six million, nine hundred sixteen thousand, two hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 647 983 1941 2949 4529 6881 7117 10813 13587 20643 21351 32439 49819 75691 149457 227073 636001 1908003 4452007 6996011 13356021 20988033 48972077 146916231