Search a number
-
+
14733573228 = 223211215712153
BaseRepresentation
bin11011011100011000…
…00111110001101100
31102000210211001212100
431232030013301230
5220133243320403
610433555335100
71031053206663
oct155614076154
942023731770
1014733573228
116280799700
122a322b1490
13150a5a478a
149daaaddda
155b37382a3
hex36e307c6c

14733573228 has 108 divisors (see below), whose sum is σ = 40981823064. Its totient is φ = 4459804800.

The previous prime is 14733573223. The next prime is 14733573287. The reversal of 14733573228 is 82237533741.

It is a happy number.

14733573228 is a `hidden beast` number, since 1 + 4 + 73 + 3 + 573 + 2 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (14733573223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6842200 + ... + 6844352.

Almost surely, 214733573228 is an apocalyptic number.

14733573228 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 14733573228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490911532).

14733573228 is an abundant number, since it is smaller than the sum of its proper divisors (26248249836).

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

14733573228 is a wasteful number, since it uses less digits than its factorization.

14733573228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 3740 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 14733573228 in words is "fourteen billion, seven hundred thirty-three million, five hundred seventy-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1571 2153 2178 3142 4306 4356 4713 6284 6459 8612 9426 12918 14139 17281 18852 19377 23683 25836 28278 34562 38754 47366 51843 56556 69124 71049 77508 94732 103686 142098 155529 190091 207372 213147 260513 284196 311058 380182 426294 521026 570273 622116 760364 781539 852588 1042052 1140546 1563078 1710819 2281092 2344617 3126156 3382363 3421638 4689234 6764726 6843276 9378468 10147089 13529452 20294178 30441267 37205993 40588356 60882534 74411986 111617979 121765068 148823972 223235958 334853937 409265923 446471916 669707874 818531846 1227797769 1339415748 1637063692 2455595538 3683393307 4911191076 7366786614 14733573228