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223700780956900 = 2252132103211172
BaseRepresentation
bin110010110111010001100101…
…100101011011110011100100
31002100001120211001100221212211
4302313101211211123303210
5213310103144411110100
62111434415311053204
765055563614421362
oct6267214545336344
91070046731327784
10223700780956900
1165306a71a8a185
122110a862b11204
1397a8b7c285900
143d35265a8c632
151acde860861ba
hexcb746595bce4

223700780956900 has 243 divisors, whose sum is σ = 531272397986001. Its totient is φ = 81722069095680.

The previous prime is 223700780956897. The next prime is 223700780956957. The reversal of 223700780956900 is 9659087007322.

The square root of 223700780956900 is 14956630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 201493539404964 + 22207241551936 = 14194842^2 + 4712456^2 .

It is a super-2 number, since 2×2237007809569002 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 200269275142 + ... + 200269276258.

Almost surely, 2223700780956900 is an apocalyptic number.

223700780956900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

223700780956900 is the 14956630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223700780956900

223700780956900 is an abundant number, since it is smaller than the sum of its proper divisors (307571617029101).

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

223700780956900 is a wasteful number, since it uses less digits than its factorization.

223700780956900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 58.

The spelling of 223700780956900 in words is "two hundred twenty-three trillion, seven hundred billion, seven hundred eighty million, nine hundred fifty-six thousand, nine hundred".