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220988016 = 24323134903
BaseRepresentation
bin11010010110000…
…00001001110000
3120101211100120100
431023000021300
5423033104031
633532312400
75322236634
oct1513001160
9511740510
10220988016
11103818627
1262012700
1336a25352
14214c6dc4
1514602de6
hexd2c0270

220988016 has 60 divisors (see below), whose sum is σ = 620561968. Its totient is φ = 73412352.

The previous prime is 220988011. The next prime is 220988029. The reversal of 220988016 is 610889022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220988011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42621 + ... + 47523.

Almost surely, 2220988016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220988016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310280984).

220988016 is an abundant number, since it is smaller than the sum of its proper divisors (399573952).

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

220988016 is a wasteful number, since it uses less digits than its factorization.

220988016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5230 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 220988016 is about 14865.6656763160. The cubic root of 220988016 is about 604.5834311099.

The spelling of 220988016 in words is "two hundred twenty million, nine hundred eighty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 313 626 939 1252 1878 2504 2817 3756 4903 5008 5634 7512 9806 11268 14709 15024 19612 22536 29418 39224 44127 45072 58836 78448 88254 117672 176508 235344 353016 706032 1534639 3069278 4603917 6138556 9207834 12277112 13811751 18415668 24554224 27623502 36831336 55247004 73662672 110494008 220988016