Search a number
-
+
22134343110 = 23511679711031
BaseRepresentation
bin10100100111010011…
…110100010111000110
32010010120200010120120
4110213103310113012
5330312342434420
614100211442410
71412336545365
oct244723642706
963116603516
1022134343110
119429294650
1243588b6406
13211992b559
1410dd9517dc
15898318d40
hex5274f45c6

22134343110 has 128 divisors (see below), whose sum is σ = 58934366208. Its totient is φ = 5275248000.

The previous prime is 22134343103. The next prime is 22134343117. The reversal of 22134343110 is 1134343122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22134343103) and next prime (22134343117).

It is a super-2 number, since 2×221343431102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134343117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21468295 + ... + 21469325.

It is an arithmetic number, because the mean of its divisors is an integer number (460424736).

Almost surely, 222134343110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22134343110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29467183104).

22134343110 is an abundant number, since it is smaller than the sum of its proper divisors (36800023098).

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

22134343110 is a wasteful number, since it uses less digits than its factorization.

22134343110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22134343110 its reverse (1134343122), we get a palindrome (23268686232).

The spelling of 22134343110 in words is "twenty-two billion, one hundred thirty-four million, three hundred forty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 330 335 402 670 737 971 1005 1031 1474 1942 2010 2062 2211 2913 3093 3685 4422 4855 5155 5826 6186 7370 9710 10310 10681 11055 11341 14565 15465 21362 22110 22682 29130 30930 32043 34023 53405 56705 64086 65057 68046 69077 106810 113410 130114 138154 160215 170115 195171 207231 320430 325285 340230 345385 390342 414462 650570 690770 715627 759847 975855 1001101 1036155 1431254 1519694 1951710 2002202 2072310 2146881 2279541 3003303 3578135 3799235 4293762 4559082 5005505 6006606 7156270 7598470 10011010 10734405 11012111 11397705 15016515 21468810 22024222 22795410 30033030 33036333 55060555 66072666 67073767 110121110 134147534 165181665 201221301 330363330 335368835 402442602 670737670 737811437 1006106505 1475622874 2012213010 2213434311 3689057185 4426868622 7378114370 11067171555 22134343110