Search a number
-
+
22313333331 = 3737475867
BaseRepresentation
bin10100110001111110…
…100111001001010011
32010121001110210000000
4110301332213021103
5331144203131311
614130044101043
71416642126642
oct246176471123
963531423000
1022313333331
119510327653
1243a8834783
132147a3a923
141119625359
158a8dc3056
hex531fa7253

22313333331 has 64 divisors (see below), whose sum is σ = 35106600960. Its totient is φ = 14163151968.

The previous prime is 22313333311. The next prime is 22313333353. The reversal of 22313333331 is 13333331322.

It is not a de Polignac number, because 22313333331 - 25 = 22313333299 is a prime.

It is a super-3 number, since 3×223133333313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22313333295 and 22313333304.

It is not an unprimeable number, because it can be changed into a prime (22313333311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3800260 + ... + 3806126.

It is an arithmetic number, because the mean of its divisors is an integer number (548540640).

Almost surely, 222313333331 is an apocalyptic number.

22313333331 is a deficient number, since it is larger than the sum of its proper divisors (12793267629).

22313333331 is an frugal number, since it uses more digits than its factorization.

22313333331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972 (or 5954 counting only the distinct ones).

The product of its digits is 8748, while the sum is 27.

Adding to 22313333331 its reverse (13333331322), we get a palindrome (35646664653).

The spelling of 22313333331 in words is "twenty-two billion, three hundred thirteen million, three hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 27 37 47 81 111 141 243 333 423 729 999 1269 1739 2187 2997 3807 5217 5867 8991 11421 15651 17601 26973 34263 46953 52803 80919 102789 140859 158409 217079 275749 422577 475227 651237 827247 1267731 1425681 1953711 2481741 3803193 4277043 5861133 7445223 10202713 12831129 17583399 22335669 30608139 52750197 67007007 91824417 158250591 201021021 275473251 474751773 603063063 826419753 2479259259 7437777777 22313333331