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2208093420 = 22351331531723
BaseRepresentation
bin1000001110011100…
…1101010011101100
312200212220202201210
42003213031103230
514010232442140
61003035034420
7105501325101
oct20347152354
95625822653
102208093420
11a334582a5
1251759ba10
13292606470
1416d386aa8
15cdcb9d80
hex839cd4ec

2208093420 has 192 divisors, whose sum is σ = 7006777344. Its totient is φ = 515773440.

The previous prime is 2208093383. The next prime is 2208093421. The reversal of 2208093420 is 243908022.

2208093420 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 (30).

It is not an unprimeable number, because it can be changed into a prime (2208093421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1280679 + ... + 1282401.

It is an arithmetic number, because the mean of its divisors is an integer number (36493632).

Almost surely, 22208093420 is an apocalyptic number.

2208093420 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 2208093420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503388672).

2208093420 is an abundant number, since it is smaller than the sum of its proper divisors (4798683924).

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

2208093420 is a wasteful number, since it uses less digits than its factorization.

2208093420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2208093420 is about 46990.3545421824. The cubic root of 2208093420 is about 1302.1843788333.

The spelling of 2208093420 in words is "two billion, two hundred eight million, ninety-three thousand, four hundred twenty".