Search a number
-
+
45445222240 = 2551125821149
BaseRepresentation
bin101010010100101111…
…110000111101100000
311100022011012111011021
4222110233300331200
51221032434102430
632513252455224
73166114005205
oct522457607540
9140264174137
1045445222240
1118300709110
12898361a514
134393227262
1422b1845cac
1512aea8607a
hexa94bf0f60

45445222240 has 48 divisors (see below), whose sum is σ = 117124736400. Its totient is φ = 16525534720.

The previous prime is 45445222211. The next prime is 45445222253. The reversal of 45445222240 is 4222254454.

It is a happy number.

45445222240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45445222196 and 45445222205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12908815 + ... + 12912334.

It is an arithmetic number, because the mean of its divisors is an integer number (2440098675).

Almost surely, 245445222240 is an apocalyptic number.

45445222240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45445222240 is an abundant number, since it is smaller than the sum of its proper divisors (71679514160).

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

45445222240 is a wasteful number, since it uses less digits than its factorization.

45445222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25821175 (or 25821167 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 34.

Adding to 45445222240 its reverse (4222254454), we get a palindrome (49667476694).

The spelling of 45445222240 in words is "forty-five billion, four hundred forty-five million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 25821149 51642298 103284596 129105745 206569192 258211490 284032639 413138384 516422980 568065278 826276768 1032845960 1136130556 1420163195 2065691920 2272261112 2840326390 4131383840 4544522224 5680652780 9089044448 11361305560 22722611120 45445222240