Search a number
-
+
4734223200 = 2535527371
BaseRepresentation
bin1000110100010111…
…01000001101100000
3110012221021110100000
410122023220031200
534143430120300
62101434500000
7225214143000
oct43213501540
913187243300
104734223200
11200a388a63
12b01594600
135a5a84105
1432ca7a000
151ca957c00
hex11a2e8360

4734223200 has 864 divisors, whose sum is σ = 20473689600. Its totient is φ = 1066867200.

The previous prime is 4734223199. The next prime is 4734223201. The reversal of 4734223200 is 23224374.

It is an interprime number because it is at equal distance from previous prime (4734223199) and next prime (4734223201).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4734223201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 66679165 + ... + 66679235.

It is an arithmetic number, because the mean of its divisors is an integer number (23696400).

Almost surely, 24734223200 is an apocalyptic number.

4734223200 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 4734223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10236844800).

4734223200 is an abundant number, since it is smaller than the sum of its proper divisors (15739466400).

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

4734223200 is an equidigital number, since it uses as much as digits as its factorization.

4734223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 4734223200 is about 68805.6916250393. The cubic root of 4734223200 is about 1679.1245438748.

Adding to 4734223200 its reverse (23224374), we get a palindrome (4757447574).

The spelling of 4734223200 in words is "four billion, seven hundred thirty-four million, two hundred twenty-three thousand, two hundred".