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10233204436 = 227132310511163
BaseRepresentation
bin10011000011111001…
…00100111011010100
3222102011120122110201
421201330210323110
5131424200020221
64411233030244
7511405542160
oct114174447324
928364518421
1010233204436
114381416a54
121b970b5384
13c710cc170
146d1109ca0
153ed5c5891
hex261f24ed4

10233204436 has 96 divisors (see below), whose sum is σ = 23040718848. Its totient is φ = 3865276800.

The previous prime is 10233204431. The next prime is 10233204461. The reversal of 10233204436 is 63440233201.

10233204436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233204431) 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 31 ways as a sum of consecutive naturals, for example, 8798391 + ... + 8799553.

It is an arithmetic number, because the mean of its divisors is an integer number (240007488).

Almost surely, 210233204436 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 10233204436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11520359424).

10233204436 is an abundant number, since it is smaller than the sum of its proper divisors (12807514412).

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

10233204436 is a wasteful number, since it uses less digits than its factorization.

10233204436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 10233204436 its reverse (63440233201), we get a palindrome (73673437637).

The spelling of 10233204436 in words is "ten billion, two hundred thirty-three million, two hundred four thousand, four hundred thirty-six".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1051 1163 1196 2093 2102 2326 4186 4204 4652 7357 8141 8372 13663 14714 15119 16282 24173 26749 27326 29428 30238 32564 48346 53498 54652 60476 95641 96692 105833 106996 169211 187243 191282 211666 314249 338422 347737 374486 382564 423332 628498 676844 695474 748972 1222313 1256996 1390948 2199743 2434159 2444626 4399486 4868318 4889252 8556191 8798972 9736636 15890069 17112382 28113199 31780138 34224764 56226398 63560276 111230483 112452796 196792393 222460966 365471587 393584786 444921932 730943174 787169572 1461886348 2558301109 5116602218 10233204436