Search a number
-
+
2224000265652 = 22321123244180969
BaseRepresentation
bin100000010111010000101…
…111101110110110110100
321212121112101212100120100
4200113100233232312310
5242414223032000102
64421405220034100
7316451541230034
oct40272057566664
97777471770510
102224000265652
11788214196880
122bb039232930
13131950c43769
14798dc2398c4
153ccb8496a1c
hex205d0beedb4

2224000265652 has 72 divisors (see below), whose sum is σ = 6399494861760. Its totient is φ = 644637755520.

The previous prime is 2224000265647. The next prime is 2224000265653. The reversal of 2224000265652 is 2565620004222.

2224000265652 is a `hidden beast` number, since 222 + 400 + 0 + 26 + 5 + 6 + 5 + 2 = 666.

It is a super-3 number, since 3×22240002656523 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224000265653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122081377 + ... + 122099592.

It is an arithmetic number, because the mean of its divisors is an integer number (88881873080).

Almost surely, 22224000265652 is an apocalyptic number.

2224000265652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2224000265652 is an abundant number, since it is smaller than the sum of its proper divisors (4175494596108).

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

2224000265652 is a wasteful number, since it uses less digits than its factorization.

2224000265652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244181013 (or 244181008 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 2224000265652 its reverse (2565620004222), we get a palindrome (4789620269874).

The spelling of 2224000265652 in words is "two trillion, two hundred twenty-four billion, two hundred sixty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 244180969 488361938 732542907 976723876 1465085814 2197628721 2685990659 2930171628 4395257442 5371981318 5616162287 8057971977 8790514884 10743962636 11232324574 16115943954 16848486861 22464649148 24173915931 32231887908 33696973722 48347831862 50545460583 61777785157 67393947444 96695663724 101090921166 123555570314 185333355471 202181842332 247111140628 370666710942 556000066413 741333421884 1112000132826 2224000265652