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4422232322244 = 22321129041112289
BaseRepresentation
bin100000001011010000110…
…0101100011000011000100
3120122202112222022001121100
41000112201211203003010
51034423212433302434
613223313454020100
7634332016350132
oct100264145430304
916582488261540
104422232322244
111455504949800
125b50847a7630
1326102644c029
1411407407a752
157a0745c3699
hex405a19630c4

4422232322244 has 108 divisors (see below), whose sum is σ = 12288492756540. Its totient is φ = 1339910246400.

The previous prime is 4422232322219. The next prime is 4422232322293.

4422232322244 is a `hidden beast` number, since 4 + 42 + 22 + 32 + 322 + 244 = 666.

4422232322244 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4403022362244 + 19209960000 = 2098338^2 + 138600^2 .

It is a super-2 number, since 2×44222323222442 (a number of 26 digits) contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 4422232322199 and 4422232322208.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39326452 + ... + 39438740.

Almost surely, 24422232322244 is an apocalyptic number.

4422232322244 is a gapful number since it is divisible by the number (44) 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 4422232322244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144246378270).

4422232322244 is an abundant number, since it is smaller than the sum of its proper divisors (7866260434296).

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

4422232322244 is a wasteful number, since it uses less digits than its factorization.

4422232322244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121362 (or 121346 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The spelling of 4422232322244 in words is "four trillion, four hundred twenty-two billion, two hundred thirty-two million, three hundred twenty-two thousand, two hundred forty-four".

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 2178 4356 9041 18082 27123 36164 54246 81369 99451 108492 112289 162738 198902 224578 298353 325476 336867 397804 449156 596706 673734 895059 1010601 1093961 1193412 1235179 1347468 1790118 2021202 2187922 2470358 3281883 3580236 3705537 4042404 4375844 4940716 6563766 7411074 9845649 11116611 13127532 13586969 14822148 19691298 22233222 27173938 39382596 40760907 44466444 54347876 81521814 122282721 163043628 244565442 489130884 1015204849 2030409698 3045614547 4060819396 6091229094 9136843641 11167253339 12182458188 18273687282 22334506678 33501760017 36547374564 44669013356 67003520034 100505280051 122839786729 134007040068 201010560102 245679573458 368519360187 402021120204 491359146916 737038720374 1105558080561 1474077440748 2211116161122 4422232322244