Search a number
-
+
22230303011120 = 2451652916811591
BaseRepresentation
bin1010000110111111001010…
…10100000111000100110000
32220201012022001001111121102
411003133211110013010300
510403210130032323440
6115140243223543532
74453041426563111
oct503374524070460
986635261044542
1022230303011120
1170a0900563866
1225b046b5baba8
13c53401c42889
1456bd49592208
152883db817b15
hex1437e5507130

22230303011120 has 40 divisors (see below), whose sum is σ = 51688584531360. Its totient is φ = 8891582704640.

The previous prime is 22230303011101. The next prime is 22230303011129. The reversal of 22230303011120 is 2111030303222.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22230303011092 and 22230303011101.

It is not an unprimeable number, because it can be changed into a prime (22230303011129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7083476 + ... + 9728115.

It is an arithmetic number, because the mean of its divisors is an integer number (1292214613284).

Almost surely, 222230303011120 is an apocalyptic number.

22230303011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22230303011120 is an abundant number, since it is smaller than the sum of its proper divisors (29458281520240).

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

22230303011120 is a wasteful number, since it uses less digits than its factorization.

22230303011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16828133 (or 16828127 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22230303011120 its reverse (2111030303222), we get a palindrome (24341333314342).

The spelling of 22230303011120 in words is "twenty-two trillion, two hundred thirty billion, three hundred three million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16529 33058 66116 82645 132232 165290 264464 330580 661160 1322320 16811591 33623182 67246364 84057955 134492728 168115910 268985456 336231820 672463640 1344927280 277878787639 555757575278 1111515150556 1389393938195 2223030301112 2778787876390 4446060602224 5557575752780 11115151505560 22230303011120