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23133032320 = 275197183479
BaseRepresentation
bin10101100010110101…
…100000111110000000
32012201011212210121211
4111202311200332000
5334334024013240
614343245055504
71446154346626
oct254265407600
965634783554
1023133032320
1198a0aa2632
124597257594
1322487c9c08
14119643b516
15905d3bbea
hex562d60f80

23133032320 has 64 divisors (see below), whose sum is σ = 55583431200. Its totient is φ = 9206192128.

The previous prime is 23133032311. The next prime is 23133032369. The reversal of 23133032320 is 2323033132.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 23133032291 and 23133032300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34341 + ... + 217819.

Almost surely, 223133032320 is an apocalyptic number.

23133032320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23133032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27791715600).

23133032320 is an abundant number, since it is smaller than the sum of its proper divisors (32450398880).

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

23133032320 is a wasteful number, since it uses less digits than its factorization.

23133032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183695 (or 183683 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 23133032320 its reverse (2323033132), we get a palindrome (25456065452).

The spelling of 23133032320 in words is "twenty-three billion, one hundred thirty-three million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 197 320 394 640 788 985 1576 1970 3152 3940 6304 7880 12608 15760 25216 31520 63040 126080 183479 366958 733916 917395 1467832 1834790 2935664 3669580 5871328 7339160 11742656 14678320 23485312 29356640 36145363 58713280 72290726 117426560 144581452 180726815 289162904 361453630 578325808 722907260 1156651616 1445814520 2313303232 2891629040 4626606464 5783258080 11566516160 23133032320