Search a number
-
+
2254353420 = 22351121959277
BaseRepresentation
bin1000011001011110…
…1011010000001100
312211002222000112010
42012113223100030
514104103302140
61011410341220
7106602454644
oct20627532014
95732860463
102254353420
11a57584100
1252ab8a810
1329c082447
14175589524
15d2da6880
hex865eb40c

2254353420 has 288 divisors, whose sum is σ = 7453958400. Its totient is φ = 507133440.

The previous prime is 2254353419. The next prime is 2254353421. The reversal of 2254353420 is 243534522.

It is an interprime number because it is at equal distance from previous prime (2254353419) and next prime (2254353421).

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

It is not an unprimeable number, because it can be changed into a prime (2254353421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8138322 + ... + 8138598.

It is an arithmetic number, because the mean of its divisors is an integer number (25881800).

Almost surely, 22254353420 is an apocalyptic number.

2254353420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254353420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726979200).

2254353420 is an abundant number, since it is smaller than the sum of its proper divisors (5199604980).

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

2254353420 is a wasteful number, since it uses less digits than its factorization.

2254353420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2254353420 is about 47480.0318028537. The cubic root of 2254353420 is about 1311.2152776623.

Adding to 2254353420 its reverse (243534522), we get a palindrome (2497887942).

The spelling of 2254353420 in words is "two billion, two hundred fifty-four million, three hundred fifty-three thousand, four hundred twenty".