Search a number
-
+
23217267825 = 32523741251271
BaseRepresentation
bin10101100111110110…
…110110010001110001
32012221001101102000100
4111213312312101301
5340022110032300
614355454343013
71451226343323
oct254766662161
965831342010
1023217267825
1199345a6a54
1245bb4baa69
1322600b10cb
1411a36c7613
1590d42a700
hex567db6471

23217267825 has 144 divisors (see below), whose sum is σ = 44086678272. Its totient is φ = 11664000000.

The previous prime is 23217267817. The next prime is 23217267919. The reversal of 23217267825 is 52876271232.

It is not a de Polignac number, because 23217267825 - 23 = 23217267817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85672440 + ... + 85672710.

It is an arithmetic number, because the mean of its divisors is an integer number (306157488).

Almost surely, 223217267825 is an apocalyptic number.

23217267825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23217267825 is a deficient number, since it is larger than the sum of its proper divisors (20869410447).

23217267825 is a wasteful number, since it uses less digits than its factorization.

23217267825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 608 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 23217267825 in words is "twenty-three billion, two hundred seventeen million, two hundred sixty-seven thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 41 45 75 111 123 185 205 225 251 271 333 369 555 615 753 813 925 1025 1255 1355 1517 1665 1845 2259 2439 2775 3075 3765 4065 4551 6275 6775 7585 8325 9225 9287 10027 10291 11111 11295 12195 13653 18825 20325 22755 27861 30081 30873 33333 37925 46435 50135 51455 55555 56475 60975 68021 68265 83583 90243 92619 99999 113775 139305 150405 154365 166665 204063 232175 250675 257275 277775 340105 341325 380767 411107 417915 451215 463095 499995 612189 696525 752025 771825 833325 1020315 1142301 1233321 1700525 1903835 2055535 2089575 2256075 2315475 2499975 2516777 2788861 3060945 3426903 3699963 5101575 5711505 6166605 7550331 8366583 9519175 10277675 12583885 13944305 15304725 17134515 18499815 22650993 25099749 28557525 30833025 37751655 41832915 62919425 69721525 85672575 92499075 103187857 113254965 125498745 188758275 209164575 309563571 515939285 566274825 627493725 928690713 1547817855 2579696425 4643453565 7739089275 23217267825