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226643553378 = 2321121014
BaseRepresentation
bin1101001100010100000…
…0100010110001100010
3210200000011211102200200
43103011000202301202
512203131222202003
6252041341530030
722242303263124
oct3230500426142
9720004742620
10226643553378
1188134417200
1237b12573916
13184ac1ca488
14ad80859214
155d6759a6a3
hex34c5022c62

226643553378 has 90 divisors (see below), whose sum is σ = 545158912935. Its totient is φ = 67999866000.

The previous prime is 226643553371. The next prime is 226643553449. The reversal of 226643553378 is 873355346622.

226643553378 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 4 + 35 + 533 + 78 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 194404273569 + 32239279809 = 440913^2 + 179553^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336633.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (226643553371) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2243995528 + ... + 2243995628.

Almost surely, 2226643553378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226643553378

226643553378 is an abundant number, since it is smaller than the sum of its proper divisors (318515359557).

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

226643553378 is an frugal number, since it uses more digits than its factorization.

226643553378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 117 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 226643553378 in words is "two hundred twenty-six billion, six hundred forty-three million, five hundred fifty-three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 121 198 202 242 303 363 606 726 909 1089 1111 1818 2178 2222 3333 6666 9999 10201 12221 19998 20402 24442 30603 36663 61206 73326 91809 109989 112211 183618 219978 224422 336633 673266 1009899 1030301 1234321 2019798 2060602 2468642 3090903 3702963 6181806 7405926 9272709 11108889 11333311 18545418 22217778 22666622 33999933 67999866 101999799 104060401 124666421 203999598 208120802 249332842 312181203 373999263 624362406 747998526 936543609 1121997789 1144664411 1873087218 2243995578 2289328822 3433993233 6867986466 10301979699 12591308521 20603959398 25182617042 37773925563 75547851126 113321776689 226643553378