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223032112320 = 26351123206879
BaseRepresentation
bin1100111110110110111…
…1111111010011000000
3210022200111021012220110
43033231233333103000
512123232210043240
6250243132111320
722053641450343
oct3175557772300
9708614235813
10223032112320
11866508a4076
1237285005540
1318054c428c4
14ab1ad6c45a
155c054c8c80
hex33edbff4c0

223032112320 has 112 divisors (see below), whose sum is σ = 708760949760. Its totient is φ = 59421981696.

The previous prime is 223032112301. The next prime is 223032112343. The reversal of 223032112320 is 23211230322.

It is a happy number.

223032112320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974641 + ... + 1181519.

Almost surely, 2223032112320 is an apocalyptic number.

223032112320 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 223032112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354380474880).

223032112320 is an abundant number, since it is smaller than the sum of its proper divisors (485728837440).

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

223032112320 is a wasteful number, since it uses less digits than its factorization.

223032112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208022 (or 208012 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 223032112320 its reverse (23211230322), we get a palindrome (246243342642).

The spelling of 223032112320 in words is "two hundred twenty-three billion, thirty-two million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1123 2246 3369 4492 5615 6738 8984 11230 13476 16845 17968 22460 26952 33690 35936 44920 53904 67380 71872 89840 107808 134760 179680 206879 215616 269520 359360 413758 539040 620637 827516 1034395 1078080 1241274 1655032 2068790 2482548 3103185 3310064 4137580 4965096 6206370 6620128 8275160 9930192 12412740 13240256 16550320 19860384 24825480 33100640 39720768 49650960 66201280 99301920 198603840 232325117 464650234 696975351 929300468 1161625585 1393950702 1858600936 2323251170 2787901404 3484876755 3717201872 4646502340 5575802808 6969753510 7434403744 9293004680 11151605616 13939507020 14868807488 18586009360 22303211232 27879014040 37172018720 44606422464 55758028080 74344037440 111516056160 223032112320