Search a number
-
+
2219019264 = 210327115359
BaseRepresentation
bin1000010001000011…
…1000110000000000
312201122110212011200
42010100320300000
514021032104024
61004105141200
7105663231630
oct20420706000
95648425150
102219019264
11a39640020
1251b18a800
13294960567
141709cc6c0
15cec272c9
hex84438c00

2219019264 has 528 divisors, whose sum is σ = 8277085440. Its totient is φ = 555909120.

The previous prime is 2219019263. The next prime is 2219019293. The reversal of 2219019264 is 4629109122.

It is a tau number, because it is divible by the number of its divisors (528).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2219019263) 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, 37610467 + ... + 37610525.

Almost surely, 22219019264 is an apocalyptic number.

2219019264 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 2219019264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138542720).

2219019264 is an abundant number, since it is smaller than the sum of its proper divisors (6058066176).

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

2219019264 is a wasteful number, since it uses less digits than its factorization.

2219019264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2219019264 is about 47106.4673266846. The cubic root of 2219019264 is about 1304.3286210552.

The spelling of 2219019264 in words is "two billion, two hundred nineteen million, nineteen thousand, two hundred sixty-four".