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8010225088 = 26238365563
BaseRepresentation
bin1110111010111001…
…00101010111000000
3202200020122121002021
413131130211113000
5112401104200323
63402502531224
7402333534625
oct73534452700
922606577067
108010225088
113440621738
121676736b14
139a86b3278
1455dbaa34c
1531d36a05d
hex1dd7255c0

8010225088 has 56 divisors (see below), whose sum is σ = 16786482048. Its totient is φ = 3784763136.

The previous prime is 8010225073. The next prime is 8010225109. The reversal of 8010225088 is 8805220108.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89395 + ... + 154957.

It is an arithmetic number, because the mean of its divisors is an integer number (299758608).

Almost surely, 28010225088 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 8010225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8393241024).

8010225088 is an abundant number, since it is smaller than the sum of its proper divisors (8776256960).

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

8010225088 is a wasteful number, since it uses less digits than its factorization.

8010225088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65681 (or 65671 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 8010225088 is about 89499.8608267074. The cubic root of 8010225088 is about 2000.8517278950.

The spelling of 8010225088 in words is "eight billion, ten million, two hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 83 92 166 184 332 368 664 736 1328 1472 1909 2656 3818 5312 7636 15272 30544 61088 65563 122176 131126 262252 524504 1049008 1507949 2098016 3015898 4196032 5441729 6031796 10883458 12063592 21766916 24127184 43533832 48254368 87067664 96508736 125159767 174135328 250319534 348270656 500639068 1001278136 2002556272 4005112544 8010225088