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23050345000 = 23546783829
BaseRepresentation
bin10101011101111010…
…000101101000101000
32012111102021211221111
4111131322011220220
5334201342020000
614331132520104
71444131462004
oct253572055050
965442254844
1023050345000
119859356401
124573620034
1322346385c7
141189475704
158ed956cba
hex55de85a28

23050345000 has 160 divisors (see below), whose sum is σ = 55540346400. Its totient is φ = 8962272000.

The previous prime is 23050344991. The next prime is 23050345009. The reversal of 23050345000 is 54305032.

It is an interprime number because it is at equal distance from previous prime (23050344991) and next prime (23050345009).

It is not an unprimeable number, because it can be changed into a prime (23050345009) 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 39 ways as a sum of consecutive naturals, for example, 27804586 + ... + 27805414.

It is an arithmetic number, because the mean of its divisors is an integer number (347127165).

Almost surely, 223050345000 is an apocalyptic number.

23050345000 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 23050345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27770173200).

23050345000 is an abundant number, since it is smaller than the sum of its proper divisors (32490001400).

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

23050345000 is an equidigital number, since it uses as much as digits as its factorization.

23050345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The spelling of 23050345000 in words is "twenty-three billion, fifty million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 83 100 125 134 166 200 250 268 332 335 415 500 536 625 664 670 829 830 1000 1250 1340 1658 1660 1675 2075 2500 2680 3316 3320 3350 4145 4150 5000 5561 6632 6700 8290 8300 8375 10375 11122 13400 16580 16600 16750 20725 20750 22244 27805 33160 33500 41450 41500 41875 44488 51875 55543 55610 67000 68807 82900 83000 83750 103625 103750 111086 111220 137614 139025 165800 167500 207250 207500 222172 222440 275228 277715 278050 335000 344035 414500 415000 444344 518125 550456 555430 556100 688070 695125 829000 1036250 1110860 1112200 1376140 1388575 1390250 1720175 2072500 2221720 2752280 2777150 2780500 3440350 3475625 4145000 4610069 5554300 5561000 6880700 6942875 6951250 8600875 9220138 11108600 13761400 13885750 13902500 17201750 18440276 23050345 27771500 27805000 34403500 34714375 36880552 43004375 46100690 55543000 68807000 69428750 86008750 92201380 115251725 138857500 172017500 184402760 230503450 277715000 344035000 461006900 576258625 922013800 1152517250 2305034500 2881293125 4610069000 5762586250 11525172500 23050345000