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23320030032 = 2433136536359
BaseRepresentation
bin10101101101111110…
…110110101101010000
32020012012202021021000
4111231332312231100
5340224411430112
614414005102000
71453614661515
oct255576665520
966165667230
1023320030032
1199876047a2
1246299b7900
132278480c50
1411b31d730c
159174787dc
hex56dfb6b50

23320030032 has 160 divisors (see below), whose sum is σ = 72207878400. Its totient is φ = 7163278848.

The previous prime is 23320030031. The next prime is 23320030033. The reversal of 23320030032 is 23003002332.

23320030032 is a `hidden beast` number, since 2 + 332 + 0 + 0 + 300 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (23320030031) and next prime (23320030033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23320029987 and 23320030014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23320030031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3664069 + ... + 3670427.

It is an arithmetic number, because the mean of its divisors is an integer number (451299240).

Almost surely, 223320030032 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 23320030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36103939200).

23320030032 is an abundant number, since it is smaller than the sum of its proper divisors (48887848368).

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

23320030032 is a wasteful number, since it uses less digits than its factorization.

23320030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 7030 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 23320030032 its reverse (23003002332), we get a palindrome (46323032364).

The spelling of 23320030032 in words is "twenty-three billion, three hundred twenty million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 653 702 936 1306 1404 1872 1959 2612 2808 3918 5224 5616 5877 6359 7836 8489 10448 11754 12718 15672 16978 17631 19077 23508 25436 25467 31344 33956 35262 38154 47016 50872 50934 57231 67912 70524 76308 76401 82667 94032 101744 101868 114462 135824 141048 152616 152802 165334 171693 203736 228924 229203 248001 282096 305232 305604 330668 343386 407472 457848 458406 496002 611208 661336 686772 744003 915696 916812 992004 1222416 1322672 1373544 1488006 1833624 1984008 2232009 2747088 2976012 3667248 3968016 4152427 4464018 5952024 8304854 8928036 11904048 12457281 16609708 17856072 24914562 33219416 35712144 37371843 49829124 53981551 66438832 74743686 99658248 107963102 112115529 149487372 161944653 199316496 215926204 224231058 298974744 323889306 431852408 448462116 485833959 597949488 647778612 863704816 896924232 971667918 1295557224 1457501877 1793848464 1943335836 2591114448 2915003754 3886671672 5830007508 7773343344 11660015016 23320030032