Search a number
-
+
22304232021132 = 22324147959952667
BaseRepresentation
bin1010001001001000110111…
…10100111001110010001100
32220222021010021112022222100
411010210123310321302030
510410413031344134012
6115234231151115100
74461266443030335
oct504443364716214
986867107468870
1022304232021132
11711a198562246
122602862212a90
13c5a384384609
1457175dd1d28c
1528a2b6d298dc
hex14491bd39c8c

22304232021132 has 144 divisors (see below), whose sum is σ = 57973563648000. Its totient is φ = 7226044849920.

The previous prime is 22304232021121. The next prime is 22304232021221. The reversal of 22304232021132 is 23112023240322.

22304232021132 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 423 + 20 + 211 + 3 + 2 = 666.

It is a super-2 number, since 2×223042320211322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22304232021096 and 22304232021105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423469063 + ... + 423521729.

It is an arithmetic number, because the mean of its divisors is an integer number (402594192000).

Almost surely, 222304232021132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22304232021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28986781824000).

22304232021132 is an abundant number, since it is smaller than the sum of its proper divisors (35669331626868).

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

22304232021132 is a wasteful number, since it uses less digits than its factorization.

22304232021132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53796 (or 53791 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22304232021132 its reverse (23112023240322), we get a palindrome (45416255261454).

The spelling of 22304232021132 in words is "twenty-two trillion, three hundred four billion, two hundred thirty-two million, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 479 492 599 738 958 1198 1437 1476 1797 1916 2396 2874 3594 4311 5391 5748 7188 8622 10782 17244 19639 21564 24559 39278 49118 52667 58917 73677 78556 98236 105334 117834 147354 158001 176751 210668 221031 235668 286921 294708 316002 353502 442062 474003 573842 632004 707004 860763 884124 948006 1147684 1721526 1896012 2159347 2582289 3443052 4318694 5164578 6478041 8637388 10329156 11763761 12956082 19434123 23527522 25227493 25912164 31547533 35291283 38868246 47055044 50454986 63095066 70582566 75682479 77736492 94642599 100909972 105873849 126190132 141165132 151364958 189285198 211747698 227047437 283927797 302729916 378570396 423495396 454094874 567855594 908189748 1034327213 1135711188 1293448853 2068654426 2586897706 3102981639 3880346559 4137308852 5173795412 6205963278 7760693118 9308944917 11641039677 12411926556 15111268307 15521386236 18617889834 23282079354 30222536614 37235779668 45333804921 46564158708 60445073228 90667609842 136001414763 181335219684 272002829526 544005659052 619562000587 1239124001174 1858686001761 2478248002348 3717372003522 5576058005283 7434744007044 11152116010566 22304232021132