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22321214432 = 2511234758661
BaseRepresentation
bin10100110010011100…
…101011001111100000
32010121121022011211122
4110302130223033200
5331203212330212
614130525031412
71420066122626
oct246234531740
963547264748
1022321214432
11951481a860
1243ab3b5568
132149569bba
14111a6b7516
158a992d272
hex53272b3e0

22321214432 has 96 divisors (see below), whose sum is σ = 51089439744. Its totient is φ = 9498227200.

The previous prime is 22321214431. The next prime is 22321214483. The reversal of 22321214432 is 23441212322.

It is a super-3 number, since 3×223212144323 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22321214431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351182 + ... + 409842.

It is an arithmetic number, because the mean of its divisors is an integer number (532181664).

Almost surely, 222321214432 is an apocalyptic number.

22321214432 is a gapful number since it is divisible by the number (22) 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 22321214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25544719872).

22321214432 is an abundant number, since it is smaller than the sum of its proper divisors (28768225312).

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

22321214432 is a wasteful number, since it uses less digits than its factorization.

22321214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58752 (or 58744 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

Adding to 22321214432 its reverse (23441212322), we get a palindrome (45762426754).

The spelling of 22321214432 in words is "twenty-two billion, three hundred twenty-one million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 47 88 92 94 176 184 188 253 352 368 376 506 517 736 752 1012 1034 1081 1504 2024 2068 2162 4048 4136 4324 8096 8272 8648 11891 16544 17296 23782 34592 47564 58661 95128 117322 190256 234644 380512 469288 645271 938576 1290542 1349203 1877152 2581084 2698406 2757067 5162168 5396812 5514134 10324336 10793624 11028268 14841233 20648672 21587248 22056536 29682466 30327737 43174496 44113072 59364932 60655474 63412541 88226144 118729864 121310948 126825082 237459728 242621896 253650164 474919456 485243792 507300328 697537951 970487584 1014600656 1395075902 2029201312 2790151804 5580303608 11160607216 22321214432