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7220875136 = 27315713187
BaseRepresentation
bin1101011100110010…
…11100111110000000
3200122020100110111212
412232121130332000
5104242021001021
63152304225252
7343640266046
oct65631347600
920566313455
107220875136
113075aa5402
12149630b228
138b0cbbaa7
144c7014396
152c3de885b
hex1ae65cf80

7220875136 has 64 divisors (see below), whose sum is σ = 14880053760. Its totient is φ = 3486758400.

The previous prime is 7220875117. The next prime is 7220875141. The reversal of 7220875136 is 6315780227.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 7220875093 and 7220875102.

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, 2264135 + ... + 2267321.

It is an arithmetic number, because the mean of its divisors is an integer number (232500840).

Almost surely, 27220875136 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 7220875136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440026880).

7220875136 is an abundant number, since it is smaller than the sum of its proper divisors (7659178624).

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

7220875136 is a wasteful number, since it uses less digits than its factorization.

7220875136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 7220875136 is about 84975.7326299691. The cubic root of 7220875136 is about 1932.8431465413.

The spelling of 7220875136 in words is "seven billion, two hundred twenty million, eight hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 571 992 1142 1984 2284 3187 3968 4568 6374 9136 12748 17701 18272 25496 35402 36544 50992 70804 73088 98797 101984 141608 197594 203968 283216 395188 407936 566432 790376 1132864 1580752 1819777 2265728 3161504 3639554 6323008 7279108 12646016 14558216 29116432 56413087 58232864 112826174 116465728 225652348 232931456 451304696 902609392 1805218784 3610437568 7220875136