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141228192 = 253734289
BaseRepresentation
bin10000110101011…
…11100010100000
3100211202010122210
420122233202200
5242123300232
622003002120
73333264000
oct1032574240
9324663583
10141228192
11727a0916
123b369340
132334a3a1
1414a84000
15c5ea5cc
hex86af8a0

141228192 has 96 divisors (see below), whose sum is σ = 432432000. Its totient is φ = 40341504.

The previous prime is 141228167. The next prime is 141228229. The reversal of 141228192 is 291822141.

It is a happy number.

141228192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 30784 + ... + 35072.

It is an arithmetic number, because the mean of its divisors is an integer number (4504500).

Almost surely, 2141228192 is an apocalyptic number.

141228192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141228192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216216000).

141228192 is an abundant number, since it is smaller than the sum of its proper divisors (291203808).

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

141228192 is an equidigital number, since it uses as much as digits as its factorization.

141228192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4301 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 141228192 is about 11883.9468191338. The cubic root of 141228192 is about 520.7634151662.

The spelling of 141228192 in words is "one hundred forty-one million, two hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2744 4116 4289 4704 5488 8232 8578 10976 12867 16464 17156 25734 30023 32928 34312 51468 60046 68624 90069 102936 120092 137248 180138 205872 210161 240184 360276 411744 420322 480368 630483 720552 840644 960736 1260966 1441104 1471127 1681288 2521932 2882208 2942254 3362576 4413381 5043864 5884508 6725152 8826762 10087728 11769016 17653524 20175456 23538032 35307048 47076064 70614096 141228192