Search a number
-
+
2224643052 = 2231721151683
BaseRepresentation
bin1000010010011001…
…0101101111101100
312202001001120120010
42010212111233230
514024002034202
61004425453220
7106062103542
oct20446255754
95661046503
102224643052
11a41831285
12521041210
13295b7c248
14171653d92
15d048876c
hex84995bec

2224643052 has 48 divisors (see below), whose sum is σ = 5522332032. Its totient is φ = 694606080.

The previous prime is 2224643039. The next prime is 2224643059. The reversal of 2224643052 is 2503464222.

2224643052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2224643059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17203 + ... + 68885.

It is an arithmetic number, because the mean of its divisors is an integer number (115048584).

Almost surely, 22224643052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224643052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761166016).

2224643052 is an abundant number, since it is smaller than the sum of its proper divisors (3297688980).

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

2224643052 is a wasteful number, since it uses less digits than its factorization.

2224643052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51918 (or 51916 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2224643052 is about 47166.1218672894. The cubic root of 2224643052 is about 1305.4295698311.

The spelling of 2224643052 in words is "two billion, two hundred twenty-four million, six hundred forty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 211 422 633 844 1266 2532 3587 7174 10761 14348 21522 43044 51683 103366 155049 206732 310098 620196 878611 1757222 2635833 3514444 5271666 10543332 10905113 21810226 32715339 43620452 65430678 130861356 185386921 370773842 556160763 741547684 1112321526 2224643052