Search a number
-
+
2256020600 = 235265917117
BaseRepresentation
bin1000011001111000…
…0010010001111000
312211020002201110112
42012132002101320
514110020124400
61011510203452
7106622600351
oct20636022170
95736081415
102256020600
11a58512739
1252b653588
1329c517242
141758a0d28
15d30d5835
hex86782478

2256020600 has 48 divisors (see below), whose sum is σ = 5253514200. Its totient is φ = 900986240.

The previous prime is 2256020587. The next prime is 2256020609. The reversal of 2256020600 is 60206522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256020609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123242 + ... + 140358.

Almost surely, 22256020600 is an apocalyptic number.

2256020600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256020600 is an abundant number, since it is smaller than the sum of its proper divisors (2997493600).

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

2256020600 is a wasteful number, since it uses less digits than its factorization.

2256020600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17792 (or 17783 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2256020600 is about 47497.5852017763. The cubic root of 2256020600 is about 1311.5384291854.

The spelling of 2256020600 in words is "two billion, two hundred fifty-six million, twenty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 659 1318 2636 3295 5272 6590 13180 16475 17117 26360 32950 34234 65900 68468 85585 131800 136936 171170 342340 427925 684680 855850 1711700 3423400 11280103 22560206 45120412 56400515 90240824 112801030 225602060 282002575 451204120 564005150 1128010300 2256020600