Search a number
-
+
23223105301104 = 2433175953596399
BaseRepresentation
bin1010100011111000011001…
…11100010010101001110000
310001020002220010201101011000
411101330030330102221300
511020441404424113404
6121220314114322000
74614546125033622
oct521741474225160
9101202803641130
1023223105301104
117443955576685
122730962b89300
13cc5c10c705b7
145a400bad4c12
152a414620e339
hex151f0cf12a70

23223105301104 has 160 divisors (see below), whose sum is σ = 71776298880000. Its totient is φ = 7162193857536.

The previous prime is 23223105301057. The next prime is 23223105301111. The reversal of 23223105301104 is 40110350132232.

23223105301104 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 3 + 10 + 530 + 110 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent 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, 26364904 + ... + 27231495.

It is an arithmetic number, because the mean of its divisors is an integer number (448601868000).

Almost surely, 223223105301104 is an apocalyptic number.

23223105301104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23223105301104 is an abundant number, since it is smaller than the sum of its proper divisors (48553193578896).

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

23223105301104 is a wasteful number, since it uses less digits than its factorization.

23223105301104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53596492 (or 53596480 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 23223105301104 its reverse (40110350132232), we get a palindrome (63333455433336).

The spelling of 23223105301104 in words is "twenty-three trillion, two hundred twenty-three billion, one hundred five million, three hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 59 68 72 102 108 118 136 144 153 177 204 216 236 272 306 354 408 432 459 472 531 612 708 816 918 944 1003 1062 1224 1416 1593 1836 2006 2124 2448 2832 3009 3186 3672 4012 4248 6018 6372 7344 8024 8496 9027 12036 12744 16048 18054 24072 25488 27081 36108 48144 54162 72216 108324 144432 216648 433296 53596399 107192798 160789197 214385596 321578394 428771192 482367591 643156788 857542384 911138783 964735182 1286313576 1447102773 1822277566 1929470364 2572627152 2733416349 2894205546 3162187541 3644555132 3858940728 5466832698 5788411092 6324375082 7289110264 7717881456 8200249047 9486562623 10933665396 11576822184 12648750164 14578220528 16400498094 18973125246 21867330792 23153644368 24600747141 25297500328 28459687869 32800996188 37946250492 43734661584 49201494282 50595000656 53757188197 56919375738 65601992376 75892500984 85379063607 98402988564 107514376394 113838751476 131203984752 151785001968 161271564591 170758127214 196805977128 215028752788 227677502952 322543129182 341516254428 393611954256 430057505576 455355005904 483814693773 645086258364 683032508856 860115011152 967629387546 1290172516728 1366065017712 1451444081319 1935258775092 2580345033456 2902888162638 3870517550184 5805776325276 7741035100368 11611552650552 23223105301104