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852066228 = 2231323831097
BaseRepresentation
bin110010110010010…
…111111110110100
32012101022110010110
4302302113332310
53221112104403
6220314423020
730054305046
oct6262277664
92171273113
10852066228
113a7a72a72
121b9431a70
131076b2900
148123da96
154ec0e103
hex32c97fb4

852066228 has 72 divisors (see below), whose sum is σ = 2160442368. Its totient is φ = 261251328.

The previous prime is 852066209. The next prime is 852066233. The reversal of 852066228 is 822660258.

It is a super-3 number, since 3×8520662283 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 776176 + ... + 777272.

It is an arithmetic number, because the mean of its divisors is an integer number (30006144).

Almost surely, 2852066228 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 852066228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080221184).

852066228 is an abundant number, since it is smaller than the sum of its proper divisors (1308376140).

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

852066228 is a wasteful number, since it uses less digits than its factorization.

852066228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 852066228 is about 29190.1734835544. The cubic root of 852066228 is about 948.0351737915.

The spelling of 852066228 in words is "eight hundred fifty-two million, sixty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 383 507 676 766 1014 1097 1149 1532 2028 2194 2298 3291 4388 4596 4979 6582 9958 13164 14261 14937 19916 28522 29874 42783 57044 59748 64727 85566 129454 171132 185393 194181 258908 370786 388362 420151 556179 741572 776724 840302 1112358 1260453 1680604 2224716 2520906 5041812 5461963 10923926 16385889 21847852 32771778 65543556 71005519 142011038 213016557 284022076 426033114 852066228