Search a number
-
+
2255201120 = 25570120107
BaseRepresentation
bin1000011001101011…
…1010001101100000
312211011120002100102
42012122322031200
514104312413440
61011440441532
7106612615244
oct20632721540
95734502312
102255201120
11a58002a87
1252b3192a8
1329c2bb243
1417572a424
15d2ec2b15
hex866ba360

2255201120 has 48 divisors (see below), whose sum is σ = 5335778448. Its totient is φ = 900748800.

The previous prime is 2255201101. The next prime is 2255201159. The reversal of 2255201120 is 211025522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2255201092 and 2255201101.

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, 102107 + ... + 122213.

It is an arithmetic number, because the mean of its divisors is an integer number (111162051).

Almost surely, 22255201120 is an apocalyptic number.

2255201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2255201120 is an abundant number, since it is smaller than the sum of its proper divisors (3080577328).

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

2255201120 is a wasteful number, since it uses less digits than its factorization.

2255201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20823 (or 20815 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2255201120 is about 47488.9578744365. The cubic root of 2255201120 is about 1311.3796082844.

Adding to 2255201120 its reverse (211025522), we get a palindrome (2466226642).

The spelling of 2255201120 in words is "two billion, two hundred fifty-five million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 701 1402 2804 3505 5608 7010 11216 14020 20107 22432 28040 40214 56080 80428 100535 112160 160856 201070 321712 402140 643424 804280 1608560 3217120 14095007 28190014 56380028 70475035 112760056 140950070 225520112 281900140 451040224 563800280 1127600560 2255201120