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146229006 = 237111132801
BaseRepresentation
bin10001011011101…
…00011100001110
3101012011012111010
420231310130032
5244413312011
622302110050
73423632430
oct1055643416
9335135433
10146229006
11755a7020
1240b7b326
13243ab651
14155c6650
15cc871a6
hex8b7470e

146229006 has 64 divisors (see below), whose sum is σ = 367981056. Its totient is φ = 37632000.

The previous prime is 146228969. The next prime is 146229007. The reversal of 146229006 is 600922641.

146229006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146229007) 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, 50806 + ... + 53606.

It is an arithmetic number, because the mean of its divisors is an integer number (5749704).

Almost surely, 2146229006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146229006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183990528).

146229006 is an abundant number, since it is smaller than the sum of its proper divisors (221752050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146229006 is a wasteful number, since it uses less digits than its factorization.

146229006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 146229006 is about 12092.5185962230. The cubic root of 146229006 is about 526.8389100854.

The spelling of 146229006 in words is "one hundred forty-six million, two hundred twenty-nine thousand, six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 113 154 226 231 339 462 678 791 1243 1582 2373 2486 2801 3729 4746 5602 7458 8403 8701 16806 17402 19607 26103 30811 39214 52206 58821 61622 92433 117642 184866 215677 316513 431354 633026 647031 949539 1294062 1899078 2215591 3481643 4431182 6646773 6963286 10444929 13293546 20889858 24371501 48743002 73114503 146229006