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285222216528 = 24322323744253
BaseRepresentation
bin1000010011010001001…
…00011010001101010000
31000021012121220211211100
410021220210122031100
514133113341412103
6335010153544400
726415033560454
oct4115044321520
91007177824740
10285222216528
11aaa64561907
1247340415100
1320b86348132
14db3a644664
1576451415a3
hex426891a350

285222216528 has 90 divisors (see below), whose sum is σ = 834440702186. Its totient is φ = 90940392576.

The previous prime is 285222216527. The next prime is 285222216557. The reversal of 285222216528 is 825612222582.

It is a happy number.

285222216528 is a `hidden beast` number, since 2 + 85 + 2 + 22 + 21 + 6 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 152090640144 + 133131576384 = 389988^2 + 364872^2 .

It is a super-2 number, since 2×2852222165282 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285222216527) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1795951 + ... + 1948302.

Almost surely, 2285222216528 is an apocalyptic number.

It is an amenable number.

285222216528 is an abundant number, since it is smaller than the sum of its proper divisors (549218485658).

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

285222216528 is a wasteful number, since it uses less digits than its factorization.

285222216528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744313 (or 3744281 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The spelling of 285222216528 in words is "two hundred eighty-five billion, two hundred twenty-two million, two hundred sixteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 529 552 828 1058 1104 1587 1656 2116 3174 3312 4232 4761 6348 8464 9522 12696 19044 25392 38088 76176 3744253 7488506 11232759 14977012 22465518 29954024 33698277 44931036 59908048 67396554 86117819 89862072 134793108 172235638 179724144 258353457 269586216 344471276 516706914 539172432 688942552 775060371 1033413828 1377885104 1550120742 1980709837 2066827656 3100241484 3961419674 4133655312 5942129511 6200482968 7922839348 11884259022 12400965936 15845678696 17826388533 23768518044 31691357392 35652777066 47537036088 71305554132 95074072176 142611108264 285222216528