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23364226520440 = 235132391489126257
BaseRepresentation
bin1010100111111111010000…
…11011000001010101111000
310001201121011010012002200021
411103333220123001111320
511030244413442123230
6121405213312020224
74631003212434151
oct523775033012570
9101647133162607
1023364226520440
117498792848473
122754188231674
131006310c02690
145aab981c6928
152a7b555a8c7a
hex153fe86c1578

23364226520440 has 128 divisors (see below), whose sum is σ = 56888824608000. Its totient is φ = 8584858533888.

The previous prime is 23364226520431. The next prime is 23364226520443. The reversal of 23364226520440 is 4402562246332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23364226520443) 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, 184989792 + ... + 185116048.

It is an arithmetic number, because the mean of its divisors is an integer number (444443942250).

Almost surely, 223364226520440 is an apocalyptic number.

23364226520440 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 23364226520440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28444412304000).

23364226520440 is an abundant number, since it is smaller than the sum of its proper divisors (33524598087560).

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

23364226520440 is a wasteful number, since it uses less digits than its factorization.

23364226520440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128009 (or 128005 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 43.

Adding to 23364226520440 its reverse (4402562246332), we get a palindrome (27766788766772).

The spelling of 23364226520440 in words is "twenty-three trillion, three hundred sixty-four billion, two hundred twenty-six million, five hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 239 260 478 520 956 1195 1489 1912 2390 2978 3107 4780 5956 6214 7445 9560 11912 12428 14890 15535 19357 24856 29780 31070 38714 59560 62140 77428 96785 124280 126257 154856 193570 252514 355871 387140 505028 631285 711742 774280 1010056 1262570 1423484 1641341 1779355 2525140 2846968 3282682 3558710 4626323 5050280 6565364 7117420 8206705 9252646 13130728 14234840 16413410 18505292 23131615 30175423 32826820 37010584 46263230 60350846 65653640 92526460 120701692 150877115 185052920 187996673 241403384 301754230 375993346 392280499 603508460 751986692 784560998 939983365 1207016920 1503973384 1569121996 1879966730 1961402495 2443956749 3138243992 3759933460 3922804990 4887913498 7519866920 7845609980 9775826996 12219783745 15691219960 19551653992 24439567490 44931204847 48879134980 89862409694 97758269960 179724819388 224656024235 359449638776 449312048470 584105663011 898624096940 1168211326022 1797248193880 2336422652044 2920528315055 4672845304088 5841056630110 11682113260220 23364226520440