Search a number
-
+
2255285920 = 25529486053
BaseRepresentation
bin1000011001101100…
…1110111010100000
312211011201101200011
42012123032322200
514104323122140
61011442334304
7106613420416
oct20633167240
95734641604
102255285920
11a58060768
1252b35a394
1329c31aa14
1417574d2b6
15d2edccea
hex866ceea0

2255285920 has 48 divisors (see below), whose sum is σ = 5511852360. Its totient is φ = 871005184.

The previous prime is 2255285911. The next prime is 2255285927. The reversal of 2255285920 is 295825522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2028241296 + 227044624 = 45036^2 + 15068^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2255285927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238387 + ... + 247666.

Almost surely, 22255285920 is an apocalyptic number.

2255285920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2255285920 is an abundant number, since it is smaller than the sum of its proper divisors (3256566440).

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

2255285920 is a wasteful number, since it uses less digits than its factorization.

2255285920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486097 (or 486089 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 2255285920 is about 47489.8507051770. The cubic root of 2255285920 is about 1311.3960448963.

The spelling of 2255285920 in words is "two billion, two hundred fifty-five million, two hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 486053 972106 1944212 2430265 3888424 4860530 7776848 9721060 14095537 15553696 19442120 28191074 38884240 56382148 70477685 77768480 112764296 140955370 225528592 281910740 451057184 563821480 1127642960 2255285920