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8214200136 = 2332114086113
BaseRepresentation
bin1111010011001101…
…01011111101001000
3210012110110121020200
413221212223331020
5113310313401021
63435030452200
7410361356232
oct75146537510
923173417220
108214200136
11353577a15a
121712b04060
13a0ba2c96c
1457cd05252
1533120c126
hex1e99abf48

8214200136 has 24 divisors (see below), whose sum is σ = 22246792230. Its totient is φ = 2738066688.

The previous prime is 8214200123. The next prime is 8214200219. The reversal of 8214200136 is 6310024128.

It can be written as a sum of positive squares in only one way, i.e., 6449696100 + 1764504036 = 80310^2 + 42006^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 57042985 + ... + 57043128.

Almost surely, 28214200136 is an apocalyptic number.

It is an amenable number.

8214200136 is an abundant number, since it is smaller than the sum of its proper divisors (14032592094).

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

8214200136 is a wasteful number, since it uses less digits than its factorization.

8214200136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114086125 (or 114086118 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8214200136 is about 90632.2246003043. The cubic root of 8214200136 is about 2017.6930281538.

The spelling of 8214200136 in words is "eight billion, two hundred fourteen million, two hundred thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 114086113 228172226 342258339 456344452 684516678 912688904 1026775017 1369033356 2053550034 2738066712 4107100068 8214200136