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223113240374464 = 261116711711620613
BaseRepresentation
bin110010101110101110011001…
…011011111110110011000000
31002020222102021100002220011101
4302232232121123332303000
5213220441404013440324
62110304450241224144
764665254042032036
oct6256563133766300
91066872240086141
10223113240374464
11650aa8807064a0
1221034a10932054
139765646a0633b
143d14a4a456556
151abda49e87944
hexcaeb996fecc0

223113240374464 has 112 divisors (see below), whose sum is σ = 486296839155456. Its totient is φ = 100721684044800.

The previous prime is 223113240374461. The next prime is 223113240374471. The reversal of 223113240374464 is 464473042311322.

It is a happy number.

It is a super-3 number, since 3×2231132403744643 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223113240374461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136861822 + ... + 138482434.

It is an arithmetic number, because the mean of its divisors is an integer number (4341936063888).

Almost surely, 2223113240374464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223113240374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243148419577728).

223113240374464 is an abundant number, since it is smaller than the sum of its proper divisors (263183598780992).

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

223113240374464 is a wasteful number, since it uses less digits than its factorization.

223113240374464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621974 (or 1621964 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 46.

Adding to 223113240374464 its reverse (464473042311322), we get a palindrome (687586282685786).

The spelling of 223113240374464 in words is "two hundred twenty-three trillion, one hundred thirteen billion, two hundred forty million, three hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 167 176 334 352 668 704 1171 1336 1837 2342 2672 3674 4684 5344 7348 9368 10688 12881 14696 18736 25762 29392 37472 51524 58784 74944 103048 117568 195557 206096 391114 412192 782228 824384 1564456 1620613 2151127 3128912 3241226 4302254 6257824 6482452 8604508 12515648 12964904 17209016 17826743 25929808 34418032 35653486 51859616 68836064 71306972 103719232 137672128 142613944 270642371 285227888 541284742 570455776 1082569484 1140911552 1897737823 2165138968 2977066081 3795475646 4330277936 5954132162 7590951292 8660555872 11908264324 15181902584 17321111744 20875116053 23816528648 30363805168 41750232106 47633057296 60727610336 83500464212 95266114592 121455220672 167000928424 190532229184 316922216441 334001856848 633844432882 668003713696 1267688865764 1336007427392 2535377731528 3486144380851 5070755463056 6972288761702 10141510926112 13944577523404 20283021852224 27889155046808 55778310093616 111556620187232 223113240374464