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211404444400 = 2452528511111
BaseRepresentation
bin1100010011100010101…
…1111101001011110000
3202012200010202111011001
43010320223331023300
511430424014210100
6241041242531344
721162541062022
oct3047053751360
9665603674131
10211404444400
1181724330066
1234b7ab06b54
1316c20c83026
14a336992012
1557747a3d6a
hex3138afd2f0

211404444400 has 30 divisors (see below), whose sum is σ = 507899178632. Its totient is φ = 84561777600.

The previous prime is 211404444343. The next prime is 211404444403. The reversal of 211404444400 is 4444404112.

It is a super-2 number, since 2×2114044444002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211404444403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 264255156 + ... + 264255955.

Almost surely, 2211404444400 is an apocalyptic number.

211404444400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211404444400 is an abundant number, since it is smaller than the sum of its proper divisors (296494734232).

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

211404444400 is a wasteful number, since it uses less digits than its factorization.

211404444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528511129 (or 528511118 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 211404444400 its reverse (4444404112), we get a palindrome (215848848512).

The spelling of 211404444400 in words is "two hundred eleven billion, four hundred four million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 528511111 1057022222 2114044444 2642555555 4228088888 5285111110 8456177776 10570222220 13212777775 21140444440 26425555550 42280888880 52851111100 105702222200 211404444400