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146224936 = 231113127819
BaseRepresentation
bin10001011011100…
…11011100101000
3101012010222220101
420231303130220
5244413144221
622302035144
73423614524
oct1055633450
9335128811
10146224936
11755a3a60
1240b78ab4
13243a9840
14155c4d84
15cc85d91
hex8b73728

146224936 has 32 divisors (see below), whose sum is σ = 322106400. Its totient is φ = 61352640.

The previous prime is 146224907. The next prime is 146224937. The reversal of 146224936 is 639422641.

It is a happy number.

146224936 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146224895 and 146224904.

It is not an unprimeable number, because it can be changed into a prime (146224937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62766 + ... + 65053.

It is an arithmetic number, because the mean of its divisors is an integer number (10065825).

Almost surely, 2146224936 is an apocalyptic number.

It is an amenable number.

146224936 is an abundant number, since it is smaller than the sum of its proper divisors (175881464).

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

146224936 is a wasteful number, since it uses less digits than its factorization.

146224936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127849 (or 127845 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 146224936 is about 12092.3503091831. The cubic root of 146224936 is about 526.8340221945.

The spelling of 146224936 in words is "one hundred forty-six million, two hundred twenty-four thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 127819 255638 511276 1022552 1406009 1661647 2812018 3323294 5624036 6646588 11248072 13293176 18278117 36556234 73112468 146224936