Search a number
-
+
226521303705 = 3552328328643
BaseRepresentation
bin1101001011110110111…
…0001100101010011001
3210122200122210111200000
43102331232030222121
512202403423204310
6252021253403213
722236260212104
oct3227556145231
9718618714600
10226521303705
1188081409214
1237a99639509
131848ca965a8
14ad6c51573b
155d5b99d4c0
hex34bdb8ca99

226521303705 has 96 divisors (see below), whose sum is σ = 426398708736. Its totient is φ = 115146339264.

The previous prime is 226521303703. The next prime is 226521303709. The reversal of 226521303705 is 507303125622.

226521303705 is a `hidden beast` number, since 2 + 265 + 21 + 3 + 0 + 370 + 5 = 666.

It is not a de Polignac number, because 226521303705 - 21 = 226521303703 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 226521303705.

It is not an unprimeable number, because it can be changed into a prime (226521303703) 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, 7894114 + ... + 7922756.

It is an arithmetic number, because the mean of its divisors is an integer number (4441653216).

Almost surely, 2226521303705 is an apocalyptic number.

It is an amenable number.

226521303705 is a deficient number, since it is larger than the sum of its proper divisors (199877405031).

226521303705 is a wasteful number, since it uses less digits than its factorization.

226521303705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28969 (or 28957 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 226521303705 in words is "two hundred twenty-six billion, five hundred twenty-one million, three hundred three thousand, seven hundred five".

Divisors: 1 3 5 9 15 23 27 45 69 81 115 135 207 243 283 345 405 621 849 1035 1215 1415 1863 2547 3105 4245 5589 6509 7641 9315 12735 19527 22923 27945 28643 32545 38205 58581 68769 85929 97635 114615 143215 175743 257787 292905 343845 429645 527229 658789 773361 878715 1288935 1581687 1976367 2320083 2636145 3293945 3866805 5929101 6960249 7908435 8105969 9881835 11600415 17787303 24317907 29645505 34801245 40529845 53361909 72953721 88936515 121589535 160085727 186437287 218861163 266809545 364768605 559311861 656583489 800428635 932186435 1094305815 1677935583 1969750467 2796559305 3282917445 5033806749 8389677915 9848752335 15101420247 25169033745 45304260741 75507101235 226521303705