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2241855408 = 243136158897
BaseRepresentation
bin1000010110011111…
…1111111110110000
312210020110001110210
42011213333332300
514042403333113
61010242424120
7106361312412
oct20547777660
95706401423
102241855408
11a50518171
12526962040
132995c7880
14173a549b2
15d1c386c3
hex859fffb0

2241855408 has 80 divisors (see below), whose sum is σ = 6339309536. Its totient is φ = 678481920.

The previous prime is 2241855403. The next prime is 2241855409. The reversal of 2241855408 is 8045581422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2241855403) 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, 8616 + ... + 67512.

Almost surely, 22241855408 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 2241855408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169654768).

2241855408 is an abundant number, since it is smaller than the sum of its proper divisors (4097454128).

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

2241855408 is a wasteful number, since it uses less digits than its factorization.

2241855408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58982 (or 58976 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The square root of 2241855408 is about 47348.2355320660. The cubic root of 2241855408 is about 1308.7876840553.

The spelling of 2241855408 in words is "two billion, two hundred forty-one million, eight hundred fifty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 244 312 366 488 624 732 793 976 1464 1586 2379 2928 3172 4758 6344 9516 12688 19032 38064 58897 117794 176691 235588 353382 471176 706764 765661 942352 1413528 1531322 2296983 2827056 3062644 3592717 4593966 6125288 7185434 9187932 10778151 12250576 14370868 18375864 21556302 28741736 36751728 43112604 46705321 57483472 86225208 93410642 140115963 172450416 186821284 280231926 373642568 560463852 747285136 1120927704 2241855408