Search a number
-
+
220194240 = 26357231151
BaseRepresentation
bin11010001111111…
…10010111000000
3120100100000201020
431013332113000
5422332203430
633503305440
75312422500
oct1507762700
9510300636
10220194240
11103326212
12618ab280
1336807c66
142135ba00
15144e7b10
hexd1fe5c0

220194240 has 336 divisors, whose sum is σ = 845051904. Its totient is φ = 48384000.

The previous prime is 220194239. The next prime is 220194253. The reversal of 220194240 is 42491022.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 220194240.

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, 1458165 + ... + 1458315.

Almost surely, 2220194240 is an apocalyptic number.

220194240 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 220194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422525952).

220194240 is an abundant number, since it is smaller than the sum of its proper divisors (624857664).

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

220194240 is a wasteful number, since it uses less digits than its factorization.

220194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 220194240 is about 14838.9433586088. The cubic root of 220194240 is about 603.8586865873.

The spelling of 220194240 in words is "two hundred twenty million, one hundred ninety-four thousand, two hundred forty".