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227782800968 = 231928321072
BaseRepresentation
bin1101010000100011101…
…0011011011001001000
3210202221120112012120212
43110020322123121020
512212444344112333
6252350355540252
722312445601512
oct3241072333110
9722846465525
10227782800968
11886694a8838
123818bbba688
1318631240388
14b04bc92bb2
155dd25d5448
hex3508e9b648

227782800968 has 108 divisors (see below), whose sum is σ = 460554482115. Its totient is φ = 105600915936.

The previous prime is 227782800967. The next prime is 227782800997. The reversal of 227782800968 is 869008287722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 113891400484 + 113891400484 = 337478^2 + 337478^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337478.

It is not an unprimeable number, because it can be changed into a prime (227782800967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2128811171 + ... + 2128811277.

Almost surely, 2227782800968 is an apocalyptic number.

It is an amenable number.

227782800968 is an abundant number, since it is smaller than the sum of its proper divisors (232771681147).

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

227782800968 is an equidigital number, since it uses as much as digits as its factorization.

227782800968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 59.

The spelling of 227782800968 in words is "two hundred twenty-seven billion, seven hundred eighty-two million, eight hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 19 38 76 83 107 152 166 214 332 361 428 664 722 856 1444 1577 2033 2888 3154 4066 6308 6889 8132 8881 11449 12616 13778 16264 17762 22898 27556 29963 35524 38627 45796 55112 59926 71048 77254 91592 119852 130891 154508 168739 217531 239704 261782 309016 337478 435062 523564 674956 737123 870124 950267 1047128 1349912 1474246 1740248 1900534 2486929 2948492 3206041 3801068 4133089 4973858 5896984 6412082 7602136 8266178 9947716 12824164 14005337 16532356 18055073 19895432 25648328 28010674 33064712 36110146 56021348 72220292 78872161 112042696 144440584 157744322 266101403 315488644 343046387 532202806 630977288 686092774 1064405612 1372185548 1498571059 2128811224 2744371096 2997142118 5994284236 11988568472 28472850121 56945700242 113891400484 227782800968