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23314312224 = 2532783139333
BaseRepresentation
bin10101101101101001…
…000010110000100000
32020011210222202220100
4111231221002300200
5340221430442344
614413242342400
71453515245520
oct255551026040
966153882810
1023314312224
119984359935
124627abaa00
13227722b528
1411b2549680
15916be9569
hex56da42c20

23314312224 has 144 divisors (see below), whose sum is σ = 76684974912. Its totient is φ = 6580929024.

The previous prime is 23314312223. The next prime is 23314312247. The reversal of 23314312224 is 42221341332.

23314312224 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 431 + 2 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23314312223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97662 + ... + 236994.

It is an arithmetic number, because the mean of its divisors is an integer number (532534548).

Almost surely, 223314312224 is an apocalyptic number.

23314312224 is a gapful number since it is divisible by the number (24) 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 23314312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38342487456).

23314312224 is an abundant number, since it is smaller than the sum of its proper divisors (53370662688).

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

23314312224 is a wasteful number, since it uses less digits than its factorization.

23314312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139439 (or 139428 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 23314312224 its reverse (42221341332), we get a palindrome (65535653556).

The spelling of 23314312224 in words is "twenty-three billion, three hundred fourteen million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 83 84 96 112 126 144 166 168 224 249 252 288 332 336 498 504 581 664 672 747 996 1008 1162 1328 1494 1743 1992 2016 2324 2656 2988 3486 3984 4648 5229 5976 6972 7968 9296 10458 11952 13944 18592 20916 23904 27888 41832 55776 83664 139333 167328 278666 417999 557332 835998 975331 1114664 1253997 1671996 1950662 2229328 2507994 2925993 3343992 3901324 4458656 5015988 5851986 6687984 7802648 8777979 10031976 11564639 11703972 13375968 15605296 17555958 20063952 23129278 23407944 31210592 34693917 35111916 40127904 46258556 46815888 69387834 70223832 80952473 92517112 93631776 104081751 138775668 140447664 161904946 185034224 208163502 242857419 277551336 280895328 323809892 370068448 416327004 485714838 555102672 647619784 728572257 832654008 971429676 1110205344 1295239568 1457144514 1665308016 1942859352 2590479136 2914289028 3330616032 3885718704 5828578056 7771437408 11657156112 23314312224