Search a number
-
+
10224424332 = 2232585748491
BaseRepresentation
bin10011000010110110…
…00101010110001100
3222101120001120102200
421201123011112030
5131414423034312
64410320521500
7511241113203
oct114133052614
928346046380
1010224424332
11437746a371
121b94180290
13c6c346935
146cdca223a
153ec93e0dc
hex2616c558c

10224424332 has 36 divisors (see below), whose sum is σ = 25850018376. Its totient is φ = 3407489280.

The previous prime is 10224424297. The next prime is 10224424333. The reversal of 10224424332 is 23342442201.

10224424332 is a `hidden beast` number, since 1 + 0 + 224 + 4 + 2 + 433 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 10224424296 and 10224424305.

It is not an unprimeable number, because it can be changed into a prime (10224424333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186607 + ... + 235097.

It is an arithmetic number, because the mean of its divisors is an integer number (718056066).

Almost surely, 210224424332 is an apocalyptic number.

10224424332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10224424332 is an abundant number, since it is smaller than the sum of its proper divisors (15625594044).

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

10224424332 is a wasteful number, since it uses less digits than its factorization.

10224424332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54358 (or 54353 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10224424332 its reverse (23342442201), we get a palindrome (33566866533).

The spelling of 10224424332 in words is "ten billion, two hundred twenty-four million, four hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 5857 11714 17571 23428 35142 48491 52713 70284 96982 105426 145473 193964 210852 290946 436419 581892 872838 1745676 284011787 568023574 852035361 1136047148 1704070722 2556106083 3408141444 5112212166 10224424332