Search a number
-
+
422133141331224 = 233223255179998951
BaseRepresentation
bin101111111111011011000011…
…1111011111101110100011000
32001100122112102102110212201100
41133332312013323331310120
5420312212133140044344
64053445142110551400
7154626053523055611
oct13776660773756430
92040575372425640
10422133141331224
11112560729325254
123b418292b08560
1315170ca4a0713b
1476354d2ad6c08
1533c09b99b5569
hex17fed87efdd18

422133141331224 has 96 divisors (see below), whose sum is σ = 1192990833964800. Its totient is φ = 134592513316800.

The previous prime is 422133141331183. The next prime is 422133141331259.

422133141331224 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 3 + 314 + 1 + 3 + 312 + 24 = 666.

422133141331224 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422076949 + ... + 423075899.

It is an arithmetic number, because the mean of its divisors is an integer number (12426987853800).

Almost surely, 2422133141331224 is an apocalyptic number.

It is an amenable number.

422133141331224 is an abundant number, since it is smaller than the sum of its proper divisors (770857692633576).

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

422133141331224 is a wasteful number, since it uses less digits than its factorization.

422133141331224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254165 (or 1254158 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 422133141331224 in words is "four hundred twenty-two trillion, one hundred thirty-three billion, one hundred forty-one million, three hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 255179 510358 765537 998951 1020716 1531074 1997902 2041432 2296611 2996853 3062148 3995804 4593222 5869117 5993706 6124296 7991608 8990559 9186444 11738234 11987412 17607351 17981118 18372888 22975873 23476468 23974824 35214702 35962236 45951746 46952936 52822053 68927619 70429404 71924472 91903492 105644106 137855238 140858808 183806984 206782857 211288212 275710476 413565714 422576424 551420952 827131428 1654262856 254911317229 509822634458 764733951687 1019645268916 1529467903374 2039290537832 2294201855061 3058935806748 4588403710122 5862960296267 6117871613496 9176807420244 11725920592534 17588880888801 18353614840488 23451841185068 35177761777602 46903682370136 52766642666403 70355523555204 105533285332806 140711047110408 211066570665612 422133141331224