Search a number
-
+
22050221030232 = 23323376113176611
BaseRepresentation
bin1010000001101111101111…
…00101110111101101011000
32220001222110211001000201120
411000313313211313231120
510342232323040431412
6114521422014045240
74434035014156503
oct500676745675530
986058424030646
1022050221030232
11703149aa1818a
1225815924a9820
13c3c433326435
1456334493613a
1528389bd18b8c
hex140df7977b58

22050221030232 has 128 divisors (see below), whose sum is σ = 59086971624960. Its totient is φ = 6839333867520.

The previous prime is 22050221030213. The next prime is 22050221030239. The reversal of 22050221030232 is 23203012205022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22050221030239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124763607 + ... + 124940217.

It is an arithmetic number, because the mean of its divisors is an integer number (461616965820).

Almost surely, 222050221030232 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 22050221030232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29543485812480).

22050221030232 is an abundant number, since it is smaller than the sum of its proper divisors (37036750594728).

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

22050221030232 is a wasteful number, since it uses less digits than its factorization.

22050221030232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182793 (or 182789 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 22050221030232 its reverse (23203012205022), we get a palindrome (45253233235254).

The spelling of 22050221030232 in words is "twenty-two trillion, fifty billion, two hundred twenty-one million, thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 296 444 552 851 888 1702 2553 3404 5106 6113 6808 10212 12226 18339 20424 24452 36678 48904 73356 140599 146712 176611 226181 281198 353222 421797 452362 529833 562396 678543 706444 843594 904724 1059666 1124792 1357086 1412888 1687188 1809448 2119332 2714172 3374376 4062053 4238664 5202163 5428344 6534607 8124106 10404326 12186159 13069214 15606489 16248212 19603821 20808652 24372318 26138428 31212978 32496424 39207642 41617304 48744636 52276856 62425956 78415284 97489272 124851912 150295961 156830568 300591922 450887883 601183844 901775766 1079623043 1202367688 1803551532 2159246086 3238869129 3607103064 4318492172 6477738258 8636984344 12955476516 24831329989 25910953032 39946052591 49662659978 74493989967 79892105182 99325319956 119838157773 148987979934 159784210364 198650639912 239676315546 297975959868 319568420728 479352631092 595951919736 918759209593 958705262184 1837518419186 2756277628779 3675036838372 5512555257558 7350073676744 11025110515116 22050221030232