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7228808640 = 263258330241
BaseRepresentation
bin1101011101101111…
…01101110111000000
3200122210021112020100
412232313231313000
5104301033334030
63153150242400
7344064600564
oct65667556700
920583245210
107228808640
11307a523a19
121498ab6400
138b2838b81
144c80bb6a4
152c4964360
hex1aededdc0

7228808640 has 168 divisors, whose sum is σ = 25164489168. Its totient is φ = 1904394240.

The previous prime is 7228808611. The next prime is 7228808669. The reversal of 7228808640 is 468088227.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7228808611) and next prime (7228808669).

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

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, 223920 + ... + 254160.

It is an arithmetic number, because the mean of its divisors is an integer number (149788626).

Almost surely, 27228808640 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 7228808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582244584).

7228808640 is an abundant number, since it is smaller than the sum of its proper divisors (17935680528).

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

7228808640 is a wasteful number, since it uses less digits than its factorization.

7228808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30347 (or 30334 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 7228808640 is about 85022.4008129622. The cubic root of 7228808640 is about 1933.5507526657.

The spelling of 7228808640 in words is "seven billion, two hundred twenty-eight million, eight hundred eight thousand, six hundred forty".