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243225940 = 22541476311
BaseRepresentation
bin11100111111101…
…01010101010100
3121221200011021011
432133311111110
5444231212230
640045102004
76012246346
oct1637652524
9557604234
10243225940
11115327281
1269557904
133b510299
1424435296
1516546e2a
hexe7f5554

243225940 has 48 divisors (see below), whose sum is σ = 534449664. Its totient is φ = 92883200.

The previous prime is 243225937. The next prime is 243225949. The reversal of 243225940 is 49522342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243225949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35385 + ... + 41695.

It is an arithmetic number, because the mean of its divisors is an integer number (11134368).

Almost surely, 2243225940 is an apocalyptic number.

243225940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243225940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267224832).

243225940 is an abundant number, since it is smaller than the sum of its proper divisors (291223724).

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

243225940 is a wasteful number, since it uses less digits than its factorization.

243225940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 243225940 is about 15595.7026132201. The cubic root of 243225940 is about 624.2184919997.

The spelling of 243225940 in words is "two hundred forty-three million, two hundred twenty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 47 82 94 164 188 205 235 410 470 820 940 1927 3854 6311 7708 9635 12622 19270 25244 31555 38540 63110 126220 258751 296617 517502 593234 1035004 1186468 1293755 1483085 2587510 2966170 5175020 5932340 12161297 24322594 48645188 60806485 121612970 243225940