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8229140352 = 27332381117
BaseRepresentation
bin1111010100111111…
…01011011110000000
3210020111120122101000
413222133223132000
5113323124442402
63440323012000
7410632352556
oct75237533600
923214518330
108229140352
113543153a44
121717b0a000
13a11b61024
14580cb3bd6
153326adc1c
hex1ea7eb780

8229140352 has 64 divisors (see below), whose sum is σ = 24287403600. Its totient is φ = 2743045632.

The previous prime is 8229140333. The next prime is 8229140383. The reversal of 8229140352 is 2530419228.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1187103 + ... + 1194014.

Almost surely, 28229140352 is an apocalyptic number.

It is an amenable number.

8229140352 is an abundant number, since it is smaller than the sum of its proper divisors (16058263248).

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

8229140352 is a wasteful number, since it uses less digits than its factorization.

8229140352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381140 (or 2381122 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8229140352 is about 90714.6093636521. The cubic root of 8229140352 is about 2018.9155660175.

The spelling of 8229140352 in words is "eight billion, two hundred twenty-nine million, one hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 2381117 4762234 7143351 9524468 14286702 19048936 21430053 28573404 38097872 42860106 57146808 64290159 76195744 85720212 114293616 128580318 152391488 171440424 228587232 257160636 304782976 342880848 457174464 514321272 685761696 914348928 1028642544 1371523392 2057285088 2743046784 4114570176 8229140352