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228270030228 = 223318114877853
BaseRepresentation
bin1101010010010111110…
…1000011110110010100
3210211012112100000111000
43110211331003312110
512214444111431403
6252511002543300
722330513146132
oct3244575036624
9724175300430
10228270030228
1188899532349
12382a7207b30
13186ab173706
14b096882752
155e102797a3
hex3525f43d94

228270030228 has 96 divisors (see below), whose sum is σ = 595556881920. Its totient is φ = 75609106560.

The previous prime is 228270030227. The next prime is 228270030281. The reversal of 228270030228 is 822030072822.

228270030228 is a `hidden beast` number, since 2 + 282 + 70 + 0 + 302 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 228270030192 and 228270030201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228270030227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29063950 + ... + 29071802.

It is an arithmetic number, because the mean of its divisors is an integer number (6203717520).

Almost surely, 2228270030228 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 228270030228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297778440960).

228270030228 is an abundant number, since it is smaller than the sum of its proper divisors (367286851692).

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

228270030228 is a wasteful number, since it uses less digits than its factorization.

228270030228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9534 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 228270030228 in words is "two hundred twenty-eight billion, two hundred seventy million, thirty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 724 1086 1487 1629 2172 2974 3258 4461 4887 5948 6516 7853 8922 9774 13383 15706 17844 19548 23559 26766 31412 40149 47118 53532 70677 80298 94236 141354 160596 212031 269147 282708 424062 538294 807441 848124 1076588 1421393 1614882 2422323 2842786 3229764 4264179 4844646 5685572 7266969 8528358 9689292 11677411 12792537 14533938 17056716 23354822 25585074 29067876 35032233 38377611 46709644 51170148 70064466 76755222 105096699 140128932 153510444 210193398 315290097 420386796 630580194 1261160388 2113611391 4227222782 6340834173 8454445564 12681668346 19022502519 25363336692 38045005038 57067507557 76090010076 114135015114 228270030228