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2232230022 = 233112675099
BaseRepresentation
bin1000010100001101…
…0010000010000110
312202120100000221000
42011003102002012
514032422330042
61005300234130
7106213433151
oct20503220206
95676300830
102232230022
11a46043500
1252369b946
13297607689
1417266ac98
15d0e8674c
hex850d2086

2232230022 has 96 divisors (see below), whose sum is σ = 5534928000. Its totient is φ = 666206640.

The previous prime is 2232230009. The next prime is 2232230023. The reversal of 2232230022 is 2200322322.

2232230022 is a `hidden beast` number, since 22 + 322 + 300 + 22 = 666.

It is a super-3 number, since 3×22322300223 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2232229977 and 2232230004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232230023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435229 + ... + 440327.

It is an arithmetic number, because the mean of its divisors is an integer number (57655500).

Almost surely, 22232230022 is an apocalyptic number.

2232230022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232230022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767464000).

2232230022 is an abundant number, since it is smaller than the sum of its proper divisors (3302697978).

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

2232230022 is a wasteful number, since it uses less digits than its factorization.

2232230022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5182 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2232230022 is about 47246.4815832883. The cubic root of 2232230022 is about 1306.9119075679.

Adding to 2232230022 its reverse (2200322322), we get a palindrome (4432552344).

It can be divided in two parts, 22322300 and 22, that added together give a palindrome (22322322).

The spelling of 2232230022 in words is "two billion, two hundred thirty-two million, two hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 99 121 134 198 201 242 297 363 402 594 603 726 737 1089 1206 1474 1809 2178 2211 3267 3618 4422 5099 6534 6633 8107 10198 13266 15297 16214 19899 24321 30594 39798 45891 48642 56089 72963 91782 112178 137673 145926 168267 218889 275346 336534 341633 437778 504801 616979 683266 1009602 1024899 1233958 1514403 1850937 2049798 3028806 3074697 3701874 3757963 5552811 6149394 7515926 9224091 11105622 11273889 16658433 18448182 22547778 33316866 33821667 41337593 67643334 82675186 101465001 124012779 202930002 248025558 372038337 744076674 1116115011 2232230022