Search a number
-
+
20233331122230 = 23254113141857157
BaseRepresentation
bin1001001100110111100001…
…00000111010000000110110
32122122021202122010122011200
410212123300200322000312
510123000330231402410
6111011021453513330
74155544543601232
oct446336040720066
978567678118150
1020233331122230
1164a09a8a33746
1223294317a2846
13b39cc1b56035
144dd426d455c2
152514ae5d33c0
hex1266f083a036

20233331122230 has 96 divisors (see below), whose sum is σ = 54301123644768. Its totient is φ = 5223773068800.

The previous prime is 20233331122217. The next prime is 20233331122237. The reversal of 20233331122230 is 3222113333202.

20233331122230 is a `hidden beast` number, since 202 + 3 + 3 + 331 + 122 + 2 + 3 + 0 = 666.

It is a super-2 number, since 2×202333311222302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20233331122194 and 20233331122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20233331122237) 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 47 ways as a sum of consecutive naturals, for example, 20445189 + ... + 21411968.

It is an arithmetic number, because the mean of its divisors is an integer number (565636704633).

Almost surely, 220233331122230 is an apocalyptic number.

20233331122230 is an abundant number, since it is smaller than the sum of its proper divisors (34067792522538).

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

20233331122230 is a wasteful number, since it uses less digits than its factorization.

20233331122230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41857342 (or 41857339 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20233331122230 its reverse (3222113333202), we get a palindrome (23455444455432).

The spelling of 20233331122230 in words is "twenty trillion, two hundred thirty-three billion, three hundred thirty-one million, one hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 131 205 246 262 369 393 410 615 655 738 786 1179 1230 1310 1845 1965 2358 3690 3930 5371 5895 10742 11790 16113 26855 32226 48339 53710 80565 96678 161130 241695 483390 41857157 83714314 125571471 209285785 251142942 376714413 418571570 627857355 753428826 1255714710 1716143437 1883572065 3432286874 3767144130 5148430311 5483287567 8580717185 10296860622 10966575134 15445290933 16449862701 17161434370 25742151555 27416437835 30890581866 32899725402 49349588103 51484303110 54832875670 77226454665 82249313505 98699176206 154452909330 164498627010 224814790247 246747940515 449629580494 493495881030 674444370741 1124073951235 1348888741482 2023333112223 2248147902470 3372221853705 4046666224446 6744443707410 10116665561115 20233331122230