Search a number
-
+
222764640 = 25357167397
BaseRepresentation
bin11010100011100…
…01111001100000
3120112011121122020
431101301321200
5424011432030
634034341440
75343316410
oct1521617140
9515147566
10222764640
1110482140a
126272a880
13371c7bc7
142182a640
1514854510
hexd471e60

222764640 has 192 divisors, whose sum is σ = 808786944. Its totient is φ = 50485248.

The previous prime is 222764623. The next prime is 222764657. The reversal of 222764640 is 46467222.

It is an interprime number because it is at equal distance from previous prime (222764623) and next prime (222764657).

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 31 ways as a sum of consecutive naturals, for example, 560922 + ... + 561318.

It is an arithmetic number, because the mean of its divisors is an integer number (4212432).

Almost surely, 2222764640 is an apocalyptic number.

222764640 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 222764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404393472).

222764640 is an abundant number, since it is smaller than the sum of its proper divisors (586022304).

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

222764640 is a wasteful number, since it uses less digits than its factorization.

222764640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 222764640 is about 14925.3020069947. The cubic root of 222764640 is about 606.1992831063.

The spelling of 222764640 in words is "two hundred twenty-two million, seven hundred sixty-four thousand, six hundred forty".