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14190513228 = 22332335915913
BaseRepresentation
bin11010011011101001…
…00000110001001100
31100121221221202121000
431031310200301030
5213030232410403
610304035540300
71011440241453
oct151564406114
940557852530
1014190513228
1160221a1691
12290045a690
131451c240b8
14988909b9a
15580c167a3
hex34dd20c4c

14190513228 has 96 divisors (see below), whose sum is σ = 38499148800. Its totient is φ = 4511624832.

The previous prime is 14190513217. The next prime is 14190513269. The reversal of 14190513228 is 82231509141.

14190513228 is a `hidden beast` number, since 1 + 419 + 0 + 5 + 13 + 228 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14190513192 and 14190513201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 883800 + ... + 899712.

It is an arithmetic number, because the mean of its divisors is an integer number (401032800).

Almost surely, 214190513228 is an apocalyptic number.

14190513228 is a gapful number since it is divisible by the number (18) 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 14190513228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19249574400).

14190513228 is an abundant number, since it is smaller than the sum of its proper divisors (24308635572).

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

14190513228 is a wasteful number, since it uses less digits than its factorization.

14190513228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16308 (or 16300 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 14190513228 in words is "fourteen billion, one hundred ninety million, five hundred thirteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 359 414 621 718 828 1077 1242 1436 2154 2484 3231 4308 6462 8257 9693 12924 15913 16514 19386 24771 31826 33028 38772 47739 49542 63652 74313 95478 99084 143217 148626 190956 222939 286434 297252 365999 429651 445878 572868 731998 859302 891756 1097997 1463996 1718604 2195994 3293991 4391988 5712767 6587982 9881973 11425534 13175964 17138301 19763946 22851068 34276602 39527892 51414903 68553204 102829806 131393641 154244709 205659612 262787282 308489418 394180923 525574564 616978836 788361846 1182542769 1576723692 2365085538 3547628307 4730171076 7095256614 14190513228