Search a number
-
+
226609891328 = 2116721572
BaseRepresentation
bin1101001100001100000…
…0001000100000000000
3210122220211111020001002
43103003000020200000
512203044113010303
6252034140231132
722241414203052
oct3230300104000
9718824436032
10226609891328
1188117415427
1237b0323b4a8
13184a52426c2
14ad7a1b58d2
155d6464b788
hex34c3008800

226609891328 has 108 divisors (see below), whose sum is σ = 462921318405. Its totient is φ = 110902910976.

The previous prime is 226609891301. The next prime is 226609891393. The reversal of 226609891328 is 823198906622.

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.

226609891328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 216455701504 + 10154189824 = 465248^2 + 100768^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336608.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1443375026 + ... + 1443375182.

Almost surely, 2226609891328 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 226609891328

226609891328 is an abundant number, since it is smaller than the sum of its proper divisors (236311427077).

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

226609891328 is an frugal number, since it uses more digits than its factorization.

226609891328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 56.

The spelling of 226609891328 in words is "two hundred twenty-six billion, six hundred nine million, eight hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 157 256 268 314 512 536 628 1024 1072 1256 2048 2144 2512 4288 4489 5024 8576 8978 10048 10519 17152 17956 20096 21038 24649 34304 35912 40192 42076 49298 68608 71824 80384 84152 98596 137216 143648 160768 168304 197192 287296 321536 336608 394384 574592 673216 704773 788768 1149184 1346432 1409546 1577536 1651483 2298368 2692864 2819092 3155072 3302966 4596736 5385728 5638184 6310144 6605932 9193472 10771456 11276368 12620288 13211864 21542912 22552736 25240576 26423728 45105472 50481152 52847456 90210944 105694912 110649361 180421888 211389824 221298722 360843776 422779648 442597444 721687552 845559296 885194888 1443375104 1691118592 1770389776 3382237184 3540779552 7081559104 14163118208 28326236416 56652472832 113304945664 226609891328