Search a number
-
+
4228894080 = 2732523137233
BaseRepresentation
bin1111110000001111…
…1100110110000000
3101220201102002002200
43330003330312000
532130044102310
61535343513200
7206540002155
oct37403746600
911821362080
104228894080
111880111794
129a02b8800
135251844b8
142c18d822c
1519b3da9c0
hexfc0fcd80

4228894080 has 384 divisors, whose sum is σ = 15414909120. Its totient is φ = 1066205184.

The previous prime is 4228894069. The next prime is 4228894081. The reversal of 4228894080 is 804988224.

It is a happy number.

4228894080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228894081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18149644 + ... + 18149876.

Almost surely, 24228894080 is an apocalyptic number.

4228894080 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 4228894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7707454560).

4228894080 is an abundant number, since it is smaller than the sum of its proper divisors (11186015040).

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

4228894080 is a wasteful number, since it uses less digits than its factorization.

4228894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4228894080 is about 65029.9475626422. The cubic root of 4228894080 is about 1617.1200776400.

The spelling of 4228894080 in words is "four billion, two hundred twenty-eight million, eight hundred ninety-four thousand, eighty".