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23340133232 = 2413891379203
BaseRepresentation
bin10101101111001011…
…100010101101110000
32020020121120121122222
4111233023202231300
5340300033230412
614420004020212
71454250600443
oct255713425560
966217517588
1023340133232
119997995609
124634691668
13227c69c330
1411b5b4b65a
159190ea072
hex56f2e2b70

23340133232 has 80 divisors (see below), whose sum is σ = 49612137120. Its totient is φ = 10572435456.

The previous prime is 23340133217. The next prime is 23340133291. The reversal of 23340133232 is 23233104332.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2531543 + ... + 2540745.

It is an arithmetic number, because the mean of its divisors is an integer number (620151714).

Almost surely, 223340133232 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 23340133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24806068560).

23340133232 is an abundant number, since it is smaller than the sum of its proper divisors (26272003888).

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

23340133232 is a wasteful number, since it uses less digits than its factorization.

23340133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9444 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 23340133232 its reverse (23233104332), we get a palindrome (46573237564).

The spelling of 23340133232 in words is "twenty-three billion, three hundred forty million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 89 104 137 178 208 274 356 548 712 1096 1157 1424 1781 2192 2314 3562 4628 7124 9203 9256 12193 14248 18406 18512 24386 28496 36812 48772 73624 97544 119639 147248 158509 195088 239278 317018 478556 634036 819067 957112 1260811 1268072 1638134 1914224 2521622 2536144 3276268 5043244 6552536 10086488 10647871 13105072 16390543 20172976 21295742 32781086 42591484 65562172 85182968 112212179 131124344 170365936 224424358 262248688 448848716 897697432 1458758327 1795394864 2917516654 5835033308 11670066616 23340133232