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23330052024 = 2332389587809
BaseRepresentation
bin10101101110100101…
…000101011110111000
32020012220121102211220
4111232211011132320
5340234443131044
614415003552040
71454066112246
oct255645053670
966186542756
1023330052024
11999222a434
12463122b620
13227a57c816
1411b4685796
159182a8019
hex56e9457b8

23330052024 has 128 divisors (see below), whose sum is σ = 61725888000. Its totient is φ = 7333382144.

The previous prime is 23330051999. The next prime is 23330052029. The reversal of 23330052024 is 42025003332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23330051985 and 23330052003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23330052029) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28837732 + ... + 28838540.

It is an arithmetic number, because the mean of its divisors is an integer number (482233500).

Almost surely, 223330052024 is an apocalyptic number.

23330052024 is a gapful number since it is divisible by the number (24) 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 23330052024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30862944000).

23330052024 is an abundant number, since it is smaller than the sum of its proper divisors (38395835976).

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

23330052024 is a wasteful number, since it uses less digits than its factorization.

23330052024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 23330052024 its reverse (42025003332), we get a palindrome (65355055356).

The spelling of 23330052024 in words is "twenty-three billion, three hundred thirty million, fifty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 89 92 138 178 184 267 276 356 534 552 587 712 809 1068 1174 1618 1761 2047 2136 2348 2427 3236 3522 4094 4696 4854 6141 6472 7044 8188 9708 12282 13501 14088 16376 18607 19416 24564 27002 37214 40503 49128 52243 54004 55821 72001 74428 81006 104486 108008 111642 144002 148856 156729 162012 208972 216003 223284 288004 313458 324024 417944 432006 446568 474883 576008 626916 864012 949766 1201589 1253832 1424649 1656023 1728024 1899532 2403178 2849298 3312046 3604767 3799064 4806356 4968069 5698596 6624092 7209534 9612712 9936138 10922309 11397192 13248184 14419068 19872276 21844618 28838136 32766927 39744552 42264587 43689236 65533854 84529174 87378472 126793761 131067708 169058348 253587522 262135416 338116696 507175044 972085501 1014350088 1944171002 2916256503 3888342004 5832513006 7776684008 11665026012 23330052024