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22304230450340 = 22541101149268913
BaseRepresentation
bin1010001001001000110111…
…01110111010010010100100
32220222021010011120112020212
411010210123232322102210
510410413030443402330
6115234231053314552
74461266423465636
oct504443356722244
986867104515225
1022304230450340
11711a19768a073
122602861795a58
13c5a383c54657
1457175da30a56
1528a2b6b19295
hex14491bbba4a4

22304230450340 has 48 divisors (see below), whose sum is σ = 47981948540400. Its totient is φ = 8703971512320.

The previous prime is 22304230450339. The next prime is 22304230450373. The reversal of 22304230450340 is 4305403240322.

It can be written as a sum of positive squares in 8 ways, for example, as 359277962404 + 21944952487936 = 599398^2 + 4684544^2 .

It is a super-2 number, since 2×223042304503402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22304230450297 and 22304230450306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82807724 + ... + 83076636.

It is an arithmetic number, because the mean of its divisors is an integer number (999623927925).

Almost surely, 222304230450340 is an apocalyptic number.

22304230450340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22304230450340 is an abundant number, since it is smaller than the sum of its proper divisors (25677718090060).

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

22304230450340 is a wasteful number, since it uses less digits than its factorization.

22304230450340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370112 (or 370110 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 22304230450340 its reverse (4305403240322), we get a palindrome (26609633690662).

The spelling of 22304230450340 in words is "twenty-two trillion, three hundred four billion, two hundred thirty million, four hundred fifty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 101149 202298 268913 404596 505745 537826 1011490 1075652 1344565 2022980 2689130 4147109 5378260 8294218 11025433 16588436 20735545 22050866 41471090 44101732 55127165 82942180 110254330 220508660 27200281037 54400562074 108801124148 136001405185 272002810370 544005620740 1115211522517 2230423045034 4460846090068 5576057612585 11152115225170 22304230450340