Search a number
-
+
222078384 = 2432111947157
BaseRepresentation
bin11010011110010…
…10010110110000
3120110212202021100
431033022112300
5423323002014
634011524400
75334430563
oct1517122660
9513782240
10222078384
111043a2860
1262459700
1337017738
14216cc4da
151476b009
hexd3ca5b0

222078384 has 240 divisors, whose sum is σ = 733524480. Its totient is φ = 62000640.

The previous prime is 222078371. The next prime is 222078397. The reversal of 222078384 is 483870222.

222078384 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222078371) and next prime (222078397).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1414434 + ... + 1414590.

It is an arithmetic number, because the mean of its divisors is an integer number (3056352).

Almost surely, 2222078384 is an apocalyptic number.

222078384 is a gapful number since it is divisible by the number (24) 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 222078384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366762240).

222078384 is an abundant number, since it is smaller than the sum of its proper divisors (511446096).

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

222078384 is a wasteful number, since it uses less digits than its factorization.

222078384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 222078384 is about 14902.2945884183. The cubic root of 222078384 is about 605.5761503730.

The spelling of 222078384 in words is "two hundred twenty-two million, seventy-eight thousand, three hundred eighty-four".