Search a number
-
+
2254130040 = 233518784417
BaseRepresentation
bin1000011001011011…
…0100101101111000
312211002112200002210
42012112310231320
514104024130130
61011401455120
7106600534461
oct20626645570
95732480083
102254130040
11a57441298
1252aaa14a0
1329c004876
1417552bd68
15d2d605b0
hex865b4b78

2254130040 has 32 divisors (see below), whose sum is σ = 6762390480. Its totient is φ = 601101312.

The previous prime is 2254130029. The next prime is 2254130041. The reversal of 2254130040 is 400314522.

2254130040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22541300402 = 10162204474460803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2254129989 and 2254130016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254130041) 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, 9392089 + ... + 9392328.

Almost surely, 22254130040 is an apocalyptic number.

2254130040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254130040 is an abundant number, since it is smaller than the sum of its proper divisors (4508260440).

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

2254130040 is a wasteful number, since it uses less digits than its factorization.

2254130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18784431 (or 18784427 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2254130040 is about 47477.6793872658. The cubic root of 2254130040 is about 1311.1719675435.

Adding to 2254130040 its reverse (400314522), we get a palindrome (2654444562).

The spelling of 2254130040 in words is "two billion, two hundred fifty-four million, one hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 18784417 37568834 56353251 75137668 93922085 112706502 150275336 187844170 225413004 281766255 375688340 450826008 563532510 751376680 1127065020 2254130040