Search a number
-
+
2111422464 = 214343743
BaseRepresentation
bin111110111011001…
…1100000000000000
312110011000101010000
41331312130000000
513311011004324
6545303040000
7103215536424
oct17566340000
95404011100
102111422464
1199392aa48
124ab140000
1327858a008
141605c0b84
15c55719c9
hex7dd9c000

2111422464 has 300 divisors, whose sum is σ = 6629157304. Its totient is φ = 668860416.

The previous prime is 2111422399. The next prime is 2111422483. The reversal of 2111422464 is 4642241112.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 19 ways as a sum of consecutive naturals, for example, 49102827 + ... + 49102869.

Almost surely, 22111422464 is an apocalyptic number.

2111422464 is a gapful number since it is divisible by the number (24) 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 2111422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314578652).

2111422464 is an abundant number, since it is smaller than the sum of its proper divisors (4517734840).

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

2111422464 is an frugal number, since it uses more digits than its factorization.

2111422464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 85 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2111422464 is about 45950.2172356127. The cubic root of 2111422464 is about 1282.8967726910.

Adding to 2111422464 its reverse (4642241112), we get a palindrome (6753663576).

The spelling of 2111422464 in words is "two billion, one hundred eleven million, four hundred twenty-two thousand, four hundred sixty-four".