Search a number
-
+
22109206224 = 2437178936781
BaseRepresentation
bin10100100101110011…
…111011011011010000
32010001211101001020210
4110211303323123100
5330234424044344
614053513004120
71411613103120
oct244563733320
963054331223
1022109206224
119416085966
1243503b3640
132114669c61
1410da48ac80
15896000db9
hex525cfb6d0

22109206224 has 80 divisors (see below), whose sum is σ = 65313061760. Its totient is φ = 6313213440.

The previous prime is 22109206219. The next prime is 22109206243. The reversal of 22109206224 is 42260290122.

It is a junction number, because it is equal to n+sod(n) for n = 22109206191 and 22109206200.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 582714 + ... + 619494.

It is an arithmetic number, because the mean of its divisors is an integer number (816413272).

Almost surely, 222109206224 is an apocalyptic number.

22109206224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22109206224 is an abundant number, since it is smaller than the sum of its proper divisors (43203855536).

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

22109206224 is a wasteful number, since it uses less digits than its factorization.

22109206224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38588 (or 38582 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 22109206224 its reverse (42260290122), we get a palindrome (64369496346).

The spelling of 22109206224 in words is "twenty-two billion, one hundred nine million, two hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1789 3578 5367 7156 10734 12523 14312 21468 25046 28624 36781 37569 42936 50092 73562 75138 85872 100184 110343 147124 150276 200368 220686 257467 294248 300552 441372 514934 588496 601104 772401 882744 1029868 1544802 1765488 2059736 3089604 4119472 6179208 12358416 65801209 131602418 197403627 263204836 394807254 460608463 526409672 789614508 921216926 1052819344 1381825389 1579229016 1842433852 2763650778 3158458032 3684867704 5527301556 7369735408 11054603112 22109206224