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8214029226 = 23213325910771
BaseRepresentation
bin1111010011001100…
…00010001110101010
3210012110010220210200
413221212002032222
5113310242413401
63435023053030
7410360045034
oct75146021652
923173126720
108214029226
113535672807
121712a41176
13a0b99cc30
1457cc9cc54
153311c6686
hex1e99823aa

8214029226 has 48 divisors (see below), whose sum is σ = 19173729120. Its totient is φ = 2526383520.

The previous prime is 8214029189. The next prime is 8214029231. The reversal of 8214029226 is 6229204128.

8214029226 is a `hidden beast` number, since 8 + 21 + 402 + 9 + 226 = 666.

It is a super-3 number, since 3×82140292263 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 757221 + ... + 767991.

It is an arithmetic number, because the mean of its divisors is an integer number (399452690).

Almost surely, 28214029226 is an apocalyptic number.

8214029226 is an abundant number, since it is smaller than the sum of its proper divisors (10959699894).

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

8214029226 is a wasteful number, since it uses less digits than its factorization.

8214029226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14051 (or 14048 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8214029226 is about 90631.2817188414. The cubic root of 8214029226 is about 2017.6790342448.

The spelling of 8214029226 in words is "eight billion, two hundred fourteen million, twenty-nine thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 3259 6518 9777 10771 19554 21542 29331 32313 42367 58662 64626 84734 96939 127101 140023 193878 254202 280046 381303 420069 762606 840138 1260207 2520414 35102689 70205378 105308067 210616134 315924201 456334957 631848402 912669914 1369004871 2738009742 4107014613 8214029226