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114422440220 = 225112396173527
BaseRepresentation
bin110101010010000011…
…0111110000100011100
3101221100022000012212022
41222210012332010130
53333314121041340
6124322005555312
711160331460114
oct1524406760434
9357308005768
10114422440220
1144587536990
121a213a15b38
13aa367b8c3a
1457766a0044
152e9a4b53b5
hex1aa41be11c

114422440220 has 96 divisors (see below), whose sum is σ = 263729571840. Its totient is φ = 41355184640.

The previous prime is 114422440207. The next prime is 114422440241. The reversal of 114422440220 is 22044224411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114422440220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32440097 + ... + 32443623.

It is an arithmetic number, because the mean of its divisors is an integer number (2747183040).

Almost surely, 2114422440220 is an apocalyptic number.

114422440220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114422440220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131864785920).

114422440220 is an abundant number, since it is smaller than the sum of its proper divisors (149307131620).

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

114422440220 is a wasteful number, since it uses less digits than its factorization.

114422440220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 114422440220 its reverse (22044224411), we get a palindrome (136466664631).

The spelling of 114422440220 in words is "one hundred fourteen billion, four hundred twenty-two million, four hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 239 478 617 956 1195 1234 2390 2468 2629 3085 3527 4780 5258 6170 6787 7054 10516 12340 13145 13574 14108 17635 26290 27148 33935 35270 38797 52580 67870 70540 77594 135740 147463 155188 193985 294926 387970 589852 737315 775940 842953 1474630 1622093 1685906 2176159 2949260 3244186 3371812 4214765 4352318 6488372 8110465 8429530 8704636 9272483 10880795 16220930 16859060 18544966 21761590 23937749 32441860 37089932 43523180 46362415 47875498 92724830 95750996 119688745 185449660 239377490 478754980 520102001 1040204002 2080408004 2600510005 5201020010 5721122011 10402040020 11442244022 22884488044 28605610055 57211220110 114422440220