Search a number
-
+
202256240 = 2455094967
BaseRepresentation
bin11000000111000…
…10111101110000
3112002120200101212
430003202331300
5403234144430
632023015252
75004102224
oct1403427560
9462520355
10202256240
11a419411a
125789a528
1332b97264
141cc0c784
1512b52b95
hexc0e2f70

202256240 has 40 divisors (see below), whose sum is σ = 471264480. Its totient is φ = 80727296.

The previous prime is 202256233. The next prime is 202256267. The reversal of 202256240 is 42652202.

202256240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38237 + ... + 43203.

It is an arithmetic number, because the mean of its divisors is an integer number (11781612).

Almost surely, 2202256240 is an apocalyptic number.

202256240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202256240 is an abundant number, since it is smaller than the sum of its proper divisors (269008240).

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

202256240 is a wasteful number, since it uses less digits than its factorization.

202256240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 202256240 is about 14221.6820383526. The cubic root of 202256240 is about 586.9944248663.

The spelling of 202256240 in words is "two hundred two million, two hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 509 1018 2036 2545 4072 4967 5090 8144 9934 10180 19868 20360 24835 39736 40720 49670 79472 99340 198680 397360 2528203 5056406 10112812 12641015 20225624 25282030 40451248 50564060 101128120 202256240