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146228984 = 2311331443
BaseRepresentation
bin10001011011101…
…00011011111000
3101012011012110022
420231310123320
5244413311414
622302110012
73423632366
oct1055643370
9335135408
10146228984
11755a7000
1240b7b308
13243ab635
14155c6636
15cc8718e
hex8b746f8

146228984 has 64 divisors (see below), whose sum is σ = 312007680. Its totient is φ = 64178400.

The previous prime is 146228969. The next prime is 146229007. The reversal of 146228984 is 489822641.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329867 + ... + 330309.

It is an arithmetic number, because the mean of its divisors is an integer number (4875120).

Almost surely, 2146228984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146228984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156003840).

146228984 is an abundant number, since it is smaller than the sum of its proper divisors (165778696).

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

146228984 is a wasteful number, since it uses less digits than its factorization.

146228984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 487 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 146228984 is about 12092.5176865697. The cubic root of 146228984 is about 526.8388836646.

The spelling of 146228984 in words is "one hundred forty-six million, two hundred twenty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 443 484 682 886 968 1331 1364 1772 2662 2728 3544 3751 4873 5324 7502 9746 10648 13733 15004 19492 27466 30008 38984 41261 53603 54932 82522 107206 109864 151063 165044 214412 302126 330088 428824 589633 604252 1179266 1208504 1661693 2358532 3323386 4717064 6646772 13293544 18278623 36557246 73114492 146228984