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223505150064100 = 225223912177684207
BaseRepresentation
bin110010110100011011011001…
…000100110011010111100100
31002022100212212012022220201121
4302310123121010303113210
5213243402021404022400
62111204503134103324
765035466655315262
oct6264333104632744
91068325765286647
10223505150064100
1165241002497983
122109896664ab44
1397935a31a1288
143d299c7d63432
151ac8d3649721a
hexcb46d91335e4

223505150064100 has 72 divisors (see below), whose sum is σ = 487435747115520. Its totient is φ = 88954827601920.

The previous prime is 223505150064037. The next prime is 223505150064127. The reversal of 223505150064100 is 1460051505322.

223505150064100 is digitally balanced in base 2, 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 23 ways as a sum of consecutive naturals, for example, 25244197 + ... + 32928403.

It is an arithmetic number, because the mean of its divisors is an integer number (6769940932160).

Almost surely, 2223505150064100 is an apocalyptic number.

223505150064100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223505150064100 is an abundant number, since it is smaller than the sum of its proper divisors (263930597051420).

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

223505150064100 is a wasteful number, since it uses less digits than its factorization.

223505150064100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7685677 (or 7685670 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 223505150064100 in words is "two hundred twenty-three trillion, five hundred five billion, one hundred fifty million, sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 239 478 956 1195 1217 2390 2434 4780 4868 5975 6085 11950 12170 23900 24340 30425 60850 121700 290863 581726 1163452 1454315 2908630 5817260 7271575 7684207 14543150 15368414 29086300 30736828 38421035 76842070 153684140 192105175 384210350 768420700 1836525473 3673050946 7346101892 9182627365 9351679919 18365254730 18703359838 36730509460 37406719676 45913136825 46758399595 91826273650 93516799190 183652547300 187033598380 233791997975 467583995950 935167991900 2235051500641 4470103001282 8940206002564 11175257503205 22350515006410 44701030012820 55876287516025 111752575032050 223505150064100