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228873645 = 325711135081
BaseRepresentation
bin11011010010001…
…01010110101101
3120221122222121200
431221011112231
5432042424040
634413320113
75446252050
oct1551052655
9527588550
10228873645
11108214180
1264796039
13385566c0
142257aa97
151515e630
hexda455ad

228873645 has 96 divisors (see below), whose sum is σ = 532756224. Its totient is φ = 87782400.

The previous prime is 228873643. The next prime is 228873653. The reversal of 228873645 is 546378822.

228873645 is a `hidden beast` number, since 2 + 288 + 7 + 364 + 5 = 666.

It is not a de Polignac number, because 228873645 - 21 = 228873643 is a prime.

It is a super-3 number, since 3×2288736453 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (645120) is a multiple of the sum of its prime divisors (5120).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 228873645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228873643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42505 + ... + 47585.

It is an arithmetic number, because the mean of its divisors is an integer number (5549544).

Almost surely, 2228873645 is an apocalyptic number.

It is an amenable number.

228873645 is an abundant number, since it is smaller than the sum of its proper divisors (303882579).

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

228873645 is a wasteful number, since it uses less digits than its factorization.

228873645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5120 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 228873645 is about 15128.5704876568. The cubic root of 228873645 is about 611.6907719499.

The spelling of 228873645 in words is "two hundred twenty-eight million, eight hundred seventy-three thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 55 63 65 77 91 99 105 117 143 165 195 231 273 315 385 429 455 495 585 693 715 819 1001 1155 1287 1365 2145 3003 3465 4095 5005 5081 6435 9009 15015 15243 25405 35567 45045 45729 55891 66053 76215 106701 167673 177835 198159 228645 279455 320103 330265 391237 462371 503019 533505 594477 726583 838365 990795 1173711 1387113 1600515 1956185 2179749 2311855 2515095 2972385 3521133 3632915 4161339 5086081 5868555 6539247 6935565 10898745 15258243 17605665 20806695 25430405 32696235 45774729 76291215 228873645