Search a number
-
+
2254428810 = 232531808039
BaseRepresentation
bin1000011001011111…
…1101101010001010
312211010002211221100
42012113331222022
514104113210220
61011412122230
7106603220514
oct20627755212
95733084840
102254428810
11a57625807
1252b006376
1329c0aa85a
141755a8bb4
15d2dbdd90
hex865fda8a

2254428810 has 48 divisors (see below), whose sum is σ = 6050603520. Its totient is φ = 581787360.

The previous prime is 2254428809. The next prime is 2254428823. The reversal of 2254428810 is 188244522.

2254428810 is a `hidden beast` number, since 22 + 544 + 2 + 88 + 10 = 666.

It is a super-2 number, since 2×22544288102 = 10164898518716032200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401230 + ... + 406809.

It is an arithmetic number, because the mean of its divisors is an integer number (126054240).

Almost surely, 22254428810 is an apocalyptic number.

2254428810 is an abundant number, since it is smaller than the sum of its proper divisors (3796174710).

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

2254428810 is a wasteful number, since it uses less digits than its factorization.

2254428810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808083 (or 808080 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2254428810 is about 47480.8257089112. The cubic root of 2254428810 is about 1311.2298940363.

The spelling of 2254428810 in words is "two billion, two hundred fifty-four million, four hundred twenty-eight thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 808039 1616078 2424117 4040195 4848234 7272351 8080390 12120585 14544702 24241170 25049209 36361755 50098418 72723510 75147627 125246045 150295254 225442881 250492090 375738135 450885762 751476270 1127214405 2254428810