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226930455432 = 233231218112
BaseRepresentation
bin1101001101011000011…
…0111111001110001000
3210200202011200120022200
43103112012333032020
512204223144033212
6252130031120200
722252356021222
oct3232606771610
9720664616280
10226930455432
1188271364a3a
1237b92673060
13185267905c5
14adaa9bd412
155d8286d6dc
hex34d61bf388

226930455432 has 108 divisors (see below), whose sum is σ = 635419642455. Its totient is φ = 73162951200.

The previous prime is 226930455421. The next prime is 226930455473. The reversal of 226930455432 is 234554039622.

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.

226930455432 is a `hidden beast` number, since 2 + 2 + 6 + 93 + 0 + 4 + 554 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113465227716 + 113465227716 = 336846^2 + 336846^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336846.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 125305807 + ... + 125307617.

Almost surely, 2226930455432 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 226930455432

226930455432 is an abundant number, since it is smaller than the sum of its proper divisors (408489187023).

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

226930455432 is an equidigital number, since it uses as much as digits as its factorization.

226930455432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 226930455432 in words is "two hundred twenty-six billion, nine hundred thirty million, four hundred fifty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1116 1811 1922 2232 2883 3622 3844 5433 5766 7244 7688 8649 10866 11532 14488 16299 17298 21732 23064 32598 34596 43464 56141 65196 69192 112282 130392 168423 224564 336846 449128 505269 673692 1010538 1347384 1740371 2021076 3279721 3480742 4042152 5221113 6559442 6961484 9839163 10442226 13118884 13922968 15663339 19678326 20884452 26237768 29517489 31326678 39356652 41768904 59034978 62653356 78713304 101671351 118069956 125306712 203342702 236139912 305014053 406685404 610028106 813370808 915042159 1220056212 1830084318 2440112424 3151811881 3660168636 6303623762 7320337272 9455435643 12607247524 18910871286 25214495048 28366306929 37821742572 56732613858 75643485144 113465227716 226930455432