Search a number
-
+
228724236 = 22351323787
BaseRepresentation
bin11011010001000…
…00111000001100
3120221101101200000
431220200320030
5432023133421
634410204300
75445060336
oct1550407014
9527341600
10228724236
111081219a4
1264723690
13385036b0
142253c456
1515130226
hexda20e0c

228724236 has 144 divisors (see below), whose sum is σ = 674628864. Its totient is φ = 67231296.

The previous prime is 228724229. The next prime is 228724253. The reversal of 228724236 is 632427822.

It is a happy number.

228724236 is a `hidden beast` number, since 228 + 7 + 2 + 423 + 6 = 666.

It is a super-2 number, since 2×2287242362 = 104629552267567392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 228724236.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290235 + ... + 291021.

Almost surely, 2228724236 is an apocalyptic number.

228724236 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228724236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337314432).

228724236 is an abundant number, since it is smaller than the sum of its proper divisors (445904628).

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

228724236 is a wasteful number, since it uses less digits than its factorization.

228724236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 828 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 228724236 is about 15123.6317067033. The cubic root of 228724236 is about 611.5576388104.

The spelling of 228724236 in words is "two hundred twenty-eight million, seven hundred twenty-four thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 81 92 108 117 138 156 162 207 234 243 276 299 324 351 414 468 486 598 621 702 787 828 897 972 1053 1196 1242 1404 1574 1794 1863 2106 2361 2484 2691 3148 3159 3588 3726 4212 4722 5382 5589 6318 7083 7452 8073 9444 10231 10764 11178 12636 14166 16146 18101 20462 21249 22356 24219 28332 30693 32292 36202 40924 42498 48438 54303 61386 63747 72404 72657 84996 92079 96876 108606 122772 127494 145314 162909 184158 191241 217212 235313 254988 276237 290628 325818 368316 382482 470626 488727 552474 651636 705939 764964 828711 941252 977454 1104948 1411878 1466181 1657422 1954908 2117817 2486133 2823756 2932362 3314844 4235634 4398543 4972266 5864724 6353451 8471268 8797086 9944532 12706902 17594172 19060353 25413804 38120706 57181059 76241412 114362118 228724236