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220163152 = 24116120507
BaseRepresentation
bin11010001111101…
…10110001010000
3120100021110001211
431013312301100
5422330210102
633502505504
75312233036
oct1507666120
9510243054
10220163152
11103304920
1261895294
13367c6a71
1421350556
15144dd7d7
hexd1f6c50

220163152 has 40 divisors (see below), whose sum is σ = 472996512. Its totient is φ = 98428800.

The previous prime is 220163137. The next prime is 220163159. The reversal of 220163152 is 251361022.

220163152 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220163159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483 + ... + 20989.

Almost surely, 2220163152 is an apocalyptic number.

220163152 is a gapful number since it is divisible by the number (22) 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 220163152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236498256).

220163152 is an abundant number, since it is smaller than the sum of its proper divisors (252833360).

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

220163152 is a wasteful number, since it uses less digits than its factorization.

220163152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20587 (or 20581 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 220163152 is about 14837.8958076946. The cubic root of 220163152 is about 603.8302667667.

The spelling of 220163152 in words is "two hundred twenty million, one hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 976 1342 2684 5368 10736 20507 41014 82028 164056 225577 328112 451154 902308 1250927 1804616 2501854 3609232 5003708 10007416 13760197 20014832 27520394 55040788 110081576 220163152