Search a number
-
+
2254812240 = 24359395051
BaseRepresentation
bin1000011001100101…
…1011010001010000
312211010211022220110
42012121123101100
514104212442430
61011424241320
7106606405422
oct20631332120
95733738813
102254812240
11a5786789a
1252b170240
1329c1b3235
14175668812
15d2e477b0
hex8665b450

2254812240 has 40 divisors (see below), whose sum is σ = 6989918688. Its totient is φ = 601283200.

The previous prime is 2254812223. The next prime is 2254812253. The reversal of 2254812240 is 422184522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2254812198 and 2254812207.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4697286 + ... + 4697765.

Almost surely, 22254812240 is an apocalyptic number.

2254812240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254812240 is an abundant number, since it is smaller than the sum of its proper divisors (4735106448).

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

2254812240 is a wasteful number, since it uses less digits than its factorization.

2254812240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9395067 (or 9395061 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 2254812240 is about 47484.8632724156. The cubic root of 2254812240 is about 1311.3042271853.

Adding to 2254812240 its reverse (422184522), we get a palindrome (2676996762).

The spelling of 2254812240 in words is "two billion, two hundred fifty-four million, eight hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9395051 18790102 28185153 37580204 46975255 56370306 75160408 93950510 112740612 140925765 150320816 187901020 225481224 281851530 375802040 450962448 563703060 751604080 1127406120 2254812240