Search a number
-
+
7228898208 = 2532729612027
BaseRepresentation
bin1101011101110000…
…00011101110100000
3200122210110002002200
412232320003232200
5104301044220313
63153152213200
7344065422660
oct65670035640
920583402080
107228898208
11307a585244
121498b3a200
138b286a87c
144c81021a0
152c4980b73
hex1aee03ba0

7228898208 has 288 divisors, whose sum is σ = 24714668160. Its totient is φ = 1960519680.

The previous prime is 7228898177. The next prime is 7228898233. The reversal of 7228898208 is 8028988227.

7228898208 is a `hidden beast` number, since 72 + 288 + 98 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×72288982082 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3565291 + ... + 3567317.

It is an arithmetic number, because the mean of its divisors is an integer number (85814820).

Almost surely, 27228898208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7228898208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12357334080).

7228898208 is an abundant number, since it is smaller than the sum of its proper divisors (17485769952).

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

7228898208 is a wasteful number, since it uses less digits than its factorization.

7228898208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 7228898208 is about 85022.9275431045. The cubic root of 7228898208 is about 1933.5587384702.

The spelling of 7228898208 in words is "seven billion, two hundred twenty-eight million, eight hundred ninety-eight thousand, two hundred eight".