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293038168900 = 2252541332
BaseRepresentation
bin1000100001110100110…
…11111001101101000100
31001000101100000100211211
410100322123321231010
514300120232401100
6342341520541204
730112521223561
oct4207233715504
91030340010754
10293038168900
11103305452584
1248961a81804
13218306cac19
141027c6bd868
1579513d41ba
hex443a6f9b44

293038168900 has 27 divisors (see below), whose sum is σ = 635904573591. Its totient is φ = 117213102240.

The previous prime is 293038168883. The next prime is 293038168903. The reversal of 293038168900 is 9861830392.

The square root of 293038168900 is 541330.

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

It can be written as a sum of positive squares in 4 ways, for example, as 178923924036 + 114114244864 = 422994^2 + 337808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (293038168903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5386234 + ... + 5440366.

Almost surely, 2293038168900 is an apocalyptic number.

293038168900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

293038168900 is the 541330-th square number.

It is an amenable number.

293038168900 is an abundant number, since it is smaller than the sum of its proper divisors (342866404691).

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

293038168900 is an frugal number, since it uses more digits than its factorization.

293038168900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108280 (or 54140 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

Multiplying 293038168900 by its sum of digits (49), we get a square (14358870276100 = 37893102).

The spelling of 293038168900 in words is "two hundred ninety-three billion, thirty-eight million, one hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 54133 108266 216532 270665 541330 1082660 1353325 2706650 5413300 2930381689 5860763378 11721526756 14651908445 29303816890 58607633780 73259542225 146519084450 293038168900