Search a number
-
+
223075301434300 = 225271392292654691
BaseRepresentation
bin110010101110001011000100…
…000110011010001110111100
31002020211210100022022001020101
4302232023010012122032330
5213214331204131344200
62110235213450130444
764662441632253040
oct6256130406321674
91066753308261211
10223075301434300
116509578210a197
12210295a3120a24
139761bab959613
143d12c8b8ba020
151abca793c526a
hexcae2c419a3bc

223075301434300 has 72 divisors (see below), whose sum is σ = 557206796343680. Its totient is φ = 75932723332800.

The previous prime is 223075301434259. The next prime is 223075301434301. The reversal of 223075301434300 is 3434103570322.

It is a super-3 number, since 3×2230753014343003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223075301434300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223075301434301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1146230046 + ... + 1146424645.

Almost surely, 2223075301434300 is an apocalyptic number.

223075301434300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223075301434300 is an abundant number, since it is smaller than the sum of its proper divisors (334131494909380).

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

223075301434300 is a wasteful number, since it uses less digits than its factorization.

223075301434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292654851 (or 2292654844 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 37.

The spelling of 223075301434300 in words is "two hundred twenty-three trillion, seventy-five billion, three hundred one million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 139 140 175 278 350 556 695 700 973 1390 1946 2780 3475 3892 4865 6950 9730 13900 19460 24325 48650 97300 2292654691 4585309382 9170618764 11463273455 16048582837 22926546910 32097165674 45853093820 57316367275 64194331348 80242914185 114632734550 160485828370 229265469100 318679002049 320971656740 401214570925 637358004098 802429141850 1274716008196 1593395010245 1604858283700 2230753014343 3186790020490 4461506028686 6373580040980 7966975051225 8923012057372 11153765071715 15933950102450 22307530143430 31867900204900 44615060286860 55768825358575 111537650717150 223075301434300