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146220424 = 23719913121
BaseRepresentation
bin10001011011100…
…10010110001000
3101012010202201021
420231302112020
5244413023144
622302002224
73423565420
oct1055622610
9335122637
10146220424
11755a0629
1240b76374
13243a777c
14155c3480
15cc84884
hex8b72588

146220424 has 32 divisors (see below), whose sum is σ = 314928000. Its totient is φ = 62346240.

The previous prime is 146220421. The next prime is 146220443. The reversal of 146220424 is 424022641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (146220421) 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, 4584 + ... + 17704.

It is an arithmetic number, because the mean of its divisors is an integer number (9841500).

Almost surely, 2146220424 is an apocalyptic number.

146220424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146220424 is an abundant number, since it is smaller than the sum of its proper divisors (168707576).

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

146220424 is a wasteful number, since it uses less digits than its factorization.

146220424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13333 (or 13329 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 146220424 is about 12092.1637435159. The cubic root of 146220424 is about 526.8286033751.

The spelling of 146220424 in words is "one hundred forty-six million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 199 398 796 1393 1592 2786 5572 11144 13121 26242 52484 91847 104968 183694 367388 734776 2611079 5222158 10444316 18277553 20888632 36555106 73110212 146220424