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2216089152 = 26335992141
BaseRepresentation
bin1000010000010110…
…1101011001000000
312201102221222211000
42010011231121000
514014304323102
61003522252000
7105626306214
oct20405553100
95642858730
102216089152
11a37a19642
1251a1b7000
13294175974
14170468944
15ce84901c
hex8416d640

2216089152 has 112 divisors (see below), whose sum is σ = 6528816000. Its totient is φ = 737118720.

The previous prime is 2216089087. The next prime is 2216089153. The reversal of 2216089152 is 2519806122.

It is a super-2 number, since 2×22160891522 = 9822102259224158208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2216089153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034002 + ... + 1036142.

It is an arithmetic number, because the mean of its divisors is an integer number (58293000).

Almost surely, 22216089152 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 2216089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264408000).

2216089152 is an abundant number, since it is smaller than the sum of its proper divisors (4312726848).

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

2216089152 is a wasteful number, since it uses less digits than its factorization.

2216089152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2216089152 is about 47075.3561006181. The cubic root of 2216089152 is about 1303.7542663655.

The spelling of 2216089152 in words is "two billion, two hundred sixteen million, eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 599 864 1198 1728 1797 2141 2396 3594 4282 4792 5391 6423 7188 8564 9584 10782 12846 14376 16173 17128 19168 19269 21564 25692 28752 32346 34256 38336 38538 43128 51384 57504 57807 64692 68512 77076 86256 102768 115008 115614 129384 137024 154152 172512 205536 231228 258768 308304 345024 411072 462456 517536 616608 924912 1035072 1233216 1282459 1849824 2564918 3699648 3847377 5129836 7694754 10259672 11542131 15389508 20519344 23084262 30779016 34626393 41038688 46168524 61558032 69252786 82077376 92337048 123116064 138505572 184674096 246232128 277011144 369348192 554022288 738696384 1108044576 2216089152