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10224244944 = 2432227331237
BaseRepresentation
bin10011000010110100…
…11001100011010000
3222101112201110100200
421201122121203100
5131414401314234
64410313015200
7511236435204
oct114132314320
928345643320
1010224244944
114377357611
121b940b4500
13c6c2b30a4
146cdc56b04
153ec905d99
hex2616998d0

10224244944 has 60 divisors (see below), whose sum is σ = 28627190436. Its totient is φ = 3406473216.

The previous prime is 10224244889. The next prime is 10224244949. The reversal of 10224244944 is 44944242201.

It can be written as a sum of positive squares in 2 ways, for example, as 9055425600 + 1168819344 = 95160^2 + 34188^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10224244899 and 10224244908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224244949) 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, 311694 + ... + 342930.

Almost surely, 210224244944 is an apocalyptic number.

It is an amenable number.

10224244944 is an abundant number, since it is smaller than the sum of its proper divisors (18402945492).

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

10224244944 is a wasteful number, since it uses less digits than its factorization.

10224244944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33524 (or 33515 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 10224244944 in words is "ten billion, two hundred twenty-four million, two hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2273 4546 6819 9092 13638 18184 20457 27276 31237 36368 40914 54552 62474 81828 93711 109104 124948 163656 187422 249896 281133 327312 374844 499792 562266 749688 1124532 1499376 2249064 4498128 71001701 142003402 213005103 284006804 426010206 568013608 639015309 852020412 1136027216 1278030618 1704040824 2556061236 3408081648 5112122472 10224244944