Search a number
-
+
4234200000 = 263557057
BaseRepresentation
bin1111110001100000…
…1100001111000000
3101221002101122110020
43330120030033000
532132423400000
61540053333440
7206633051262
oct37430141700
911832348406
104234200000
111883106148
129a2037280
135262c15b4
142c24b9b32
1519bad7ba0
hexfc60c3c0

4234200000 has 168 divisors, whose sum is σ = 14004822384. Its totient is φ = 1128960000.

The previous prime is 4234199993. The next prime is 4234200029. The reversal of 4234200000 is 24324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596472 + ... + 603528.

It is an arithmetic number, because the mean of its divisors is an integer number (83362038).

Almost surely, 24234200000 is an apocalyptic number.

4234200000 is a gapful number since it is divisible by the number (40) 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 4234200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002411192).

4234200000 is an abundant number, since it is smaller than the sum of its proper divisors (9770622384).

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

4234200000 is an frugal number, since it uses more digits than its factorization.

4234200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7097 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4234200000 is about 65070.7307473952. The cubic root of 4234200000 is about 1617.7961191438.

Adding to 4234200000 its reverse (24324), we get a palindrome (4234224324).

The spelling of 4234200000 in words is "four billion, two hundred thirty-four million, two hundred thousand".