Search a number
-
+
220775646 = 237131392909
BaseRepresentation
bin11010010100011…
…00010011011110
3120101102120020210
431022030103132
5423004310041
633523553250
75320363530
oct1512142336
9511376223
10220775646
11103693013
1261b2b826
133697c7a0
142146d850
15145b0016
hexd28c4de

220775646 has 64 divisors (see below), whose sum is σ = 547545600. Its totient is φ = 57787776.

The previous prime is 220775641. The next prime is 220775647. The reversal of 220775646 is 646577022.

It is a happy number.

220775646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220775641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74440 + ... + 77348.

It is an arithmetic number, because the mean of its divisors is an integer number (8555400).

Almost surely, 2220775646 is an apocalyptic number.

220775646 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220775646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273772800).

220775646 is an abundant number, since it is smaller than the sum of its proper divisors (326769954).

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

220775646 is a wasteful number, since it uses less digits than its factorization.

220775646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073.

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 220775646 is about 14858.5209896544. The cubic root of 220775646 is about 604.3897003412.

The spelling of 220775646 in words is "two hundred twenty million, seven hundred seventy-five thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 139 182 273 278 417 546 834 973 1807 1946 2909 2919 3614 5421 5818 5838 8727 10842 12649 17454 20363 25298 37817 37947 40726 61089 75634 75894 113451 122178 226902 264719 404351 529438 794157 808702 1213053 1588314 2426106 2830457 5256563 5660914 8491371 10513126 15769689 16982742 31539378 36795941 73591882 110387823 220775646