Search a number
-
+
23223105301040 = 24523409103329873
BaseRepresentation
bin1010100011111000011001…
…11100010010101000110000
310001020002220010201101001122
411101330030330102220300
511020441404424113130
6121220314114321412
74614546125033501
oct521741474225060
9101202803641048
1023223105301040
117443955576627
122730962b89268
13cc5c10c70568
145a400bad4ba8
152a414620e2e5
hex151f0cf12a30

23223105301040 has 160 divisors (see below), whose sum is σ = 56535593811840. Its totient is φ = 8854760521728.

The previous prime is 23223105301013. The next prime is 23223105301057. The reversal of 23223105301040 is 4010350132232.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777379544 + ... + 777409416.

It is an arithmetic number, because the mean of its divisors is an integer number (353347461324).

Almost surely, 223223105301040 is an apocalyptic number.

23223105301040 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 23223105301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28267796905920).

23223105301040 is an abundant number, since it is smaller than the sum of its proper divisors (33312488510800).

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

23223105301040 is a wasteful number, since it uses less digits than its factorization.

23223105301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31351 (or 31345 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 23223105301040 its reverse (4010350132232), we get a palindrome (27233455433272).

The spelling of 23223105301040 in words is "twenty-three trillion, two hundred twenty-three billion, one hundred five million, three hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 409 460 818 920 1033 1636 1840 2045 2066 3272 4090 4132 5165 6544 8180 8264 9407 10330 16360 16528 18814 20660 23759 29873 32720 37628 41320 47035 47518 59746 75256 82640 94070 95036 118795 119492 149365 150512 188140 190072 237590 238984 298730 376280 380144 422497 475180 477968 597460 687079 752560 844994 950360 1194920 1374158 1689988 1900720 2112485 2389840 2748316 3379976 3435395 4224970 5496632 6759952 6870790 8449940 9717431 10993264 12218057 13741580 16899880 19434862 24436114 27483160 30858809 33799760 38869724 48587155 48872228 54966320 61090285 61717618 77739448 97174310 97744456 122180570 123435236 154294045 155478896 194348620 195488912 244361140 246870472 281015311 308588090 388697240 488722280 493740944 562030622 617176180 709752607 777394480 977444560 1124061244 1234352360 1405076555 1419505214 2248122488 2468704720 2810153110 2839010428 3548763035 4496244976 5620306220 5678020856 7097526070 11240612440 11356041712 12621252881 14195052140 22481224880 25242505762 28390104280 50485011524 56780208560 63106264405 100970023048 126212528810 201940046096 252425057620 290288816263 504850115240 580577632526 1009700230480 1161155265052 1451444081315 2322310530104 2902888162630 4644621060208 5805776325260 11611552650520 23223105301040