Search a number
-
+
2241297000 = 2333531719257
BaseRepresentation
bin1000010110010111…
…0111101001101000
312210012101200111000
42011211313221220
514042233001000
61010222435000
7106353465405
oct20545675150
95705350430
102241297000
11a50176678
12526732a60
13299460657
1417394b2ac
15d1b78000
hex85977a68

2241297000 has 512 divisors, whose sum is σ = 8693568000. Its totient is φ = 530841600.

The previous prime is 2241296977. The next prime is 2241297011. The reversal of 2241297000 is 7921422.

2241297000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8720872 + ... + 8721128.

It is an arithmetic number, because the mean of its divisors is an integer number (16979625).

Almost surely, 22241297000 is an apocalyptic number.

2241297000 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 2241297000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346784000).

2241297000 is an abundant number, since it is smaller than the sum of its proper divisors (6452271000).

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

2241297000 is a wasteful number, since it uses less digits than its factorization.

2241297000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2241297000 is about 47342.3383452909. The cubic root of 2241297000 is about 1308.6790094579.

The spelling of 2241297000 in words is "two billion, two hundred forty-one million, two hundred ninety-seven thousand".