Search a number
-
+
2255223540 = 2235238315773
BaseRepresentation
bin1000011001101011…
…1111101011110100
312211011121020002210
42012122333223310
514104314123130
61011441133420
7106613040513
oct20632775364
95734536083
102255223540
11a58018909
1252b32a270
1329c2c84cb
1417573467a
15d2ec95b0
hex866bfaf4

2255223540 has 48 divisors (see below), whose sum is σ = 6317676288. Its totient is φ = 601102464.

The previous prime is 2255223539. The next prime is 2255223547. The reversal of 2255223540 is 453225522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2255223498 and 2255223507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255223547) 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 15 ways as a sum of consecutive naturals, for example, 135094 + ... + 150866.

It is an arithmetic number, because the mean of its divisors is an integer number (131618256).

Almost surely, 22255223540 is an apocalyptic number.

2255223540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2255223540 is an abundant number, since it is smaller than the sum of its proper divisors (4062452748).

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

2255223540 is a wasteful number, since it uses less digits than its factorization.

2255223540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18168 (or 18166 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 2255223540 is about 47489.1939287245. The cubic root of 2255223540 is about 1311.3839539475.

The spelling of 2255223540 in words is "two billion, two hundred fifty-five million, two hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2383 4766 7149 9532 11915 14298 15773 23830 28596 31546 35745 47319 47660 63092 71490 78865 94638 142980 157730 189276 236595 315460 473190 946380 37587059 75174118 112761177 150348236 187935295 225522354 375870590 451044708 563805885 751741180 1127611770 2255223540