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2243624652 = 2232196153773
BaseRepresentation
bin1000010110111010…
…1111111011001100
312210100202221102100
42011232233323030
514043331442102
61010344355100
7106412331513
oct20556577314
95710687370
102243624652
11a51516455
12527475a90
13299a96c69
14173d9567a
15d1e87a1c
hex85bafecc

2243624652 has 72 divisors (see below), whose sum is σ = 6067858160. Its totient is φ = 696885120.

The previous prime is 2243624641. The next prime is 2243624653. The reversal of 2243624652 is 2564263422.

2243624652 is a `hidden beast` number, since 2 + 24 + 3 + 624 + 6 + 5 + 2 = 666.

It is a super-2 number, since 2×22436246522 = 10067703158124242208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2243624653) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14838 + ... + 68610.

Almost surely, 22243624652 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 2243624652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033929080).

2243624652 is an abundant number, since it is smaller than the sum of its proper divisors (3824233508).

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

2243624652 is a wasteful number, since it uses less digits than its factorization.

2243624652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53863 (or 53858 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 2243624652 is about 47366.9151623789. The cubic root of 2243624652 is about 1309.1318864330.

The spelling of 2243624652 in words is "two billion, two hundred forty-three million, six hundred twenty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 171 183 228 244 342 366 549 684 732 1098 1159 2196 2318 3477 4636 6954 10431 13908 20862 41724 53773 107546 161319 215092 322638 483957 645276 967914 1021687 1935828 2043374 3065061 3280153 4086748 6130122 6560306 9195183 9840459 12260244 13120612 18390366 19680918 29521377 36780732 39361836 59042754 62322907 118085508 124645814 186968721 249291628 373937442 560906163 747874884 1121812326 2243624652