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243256002 = 231129731741
BaseRepresentation
bin11100111111111…
…00101011000010
3121221201200111120
432133330223002
5444233143002
640045453110
76012433113
oct1637745302
9557650446
10243256002
11115347920
1269571196
133b520b82
142444220a
1516550cbc
hexe7fcac2

243256002 has 64 divisors (see below), whose sum is σ = 556882560. Its totient is φ = 70156800.

The previous prime is 243255989. The next prime is 243256037. The reversal of 243256002 is 200652342.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 138852 + ... + 140592.

It is an arithmetic number, because the mean of its divisors is an integer number (8701290).

Almost surely, 2243256002 is an apocalyptic number.

243256002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 243256002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278441280).

243256002 is an abundant number, since it is smaller than the sum of its proper divisors (313626558).

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

243256002 is a wasteful number, since it uses less digits than its factorization.

243256002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 243256002 is about 15596.6663745815. Note that the first 3 decimals coincide. The cubic root of 243256002 is about 624.2442081209.

The spelling of 243256002 in words is "two hundred forty-three million, two hundred fifty-six thousand, two".

Divisors: 1 2 3 6 11 22 29 33 58 66 73 87 146 174 219 319 438 638 803 957 1606 1741 1914 2117 2409 3482 4234 4818 5223 6351 10446 12702 19151 23287 38302 46574 50489 57453 69861 100978 114906 127093 139722 151467 254186 302934 381279 555379 762558 1110758 1398023 1666137 2796046 3332274 3685697 4194069 7371394 8388138 11057091 22114182 40542667 81085334 121628001 243256002