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22216316100 = 223521131121647
BaseRepresentation
bin10100101100001100…
…100001010011000100
32010100021220210101020
4110230030201103010
5330444334103400
614112300431140
71414353366606
oct245414412304
963307823336
1022216316100
119470593120
1243802484b0
1321308cc994
14110a7ad176
158a060c2a0
hex52c3214c4

22216316100 has 144 divisors (see below), whose sum is σ = 70351497216. Its totient is φ = 5368208000.

The previous prime is 22216316099. The next prime is 22216316107. The reversal of 22216316100 is 161361222.

It is not an unprimeable number, because it can be changed into a prime (22216316107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015477 + ... + 1037123.

It is an arithmetic number, because the mean of its divisors is an integer number (488552064).

Almost surely, 222216316100 is an apocalyptic number.

22216316100 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 22216316100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35175748608).

22216316100 is an abundant number, since it is smaller than the sum of its proper divisors (48135181116).

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

22216316100 is a wasteful number, since it uses less digits than its factorization.

22216316100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21986 (or 21979 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 22216316100 its reverse (161361222), we get a palindrome (22377677322).

The spelling of 22216316100 in words is "twenty-two billion, two hundred sixteen million, three hundred sixteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 311 330 550 622 660 825 933 1100 1244 1555 1650 1866 3110 3300 3421 3732 4665 6220 6842 7775 9330 10263 13684 15550 17105 18660 20526 21647 23325 31100 34210 41052 43294 46650 51315 64941 68420 85525 86588 93300 102630 108235 129882 171050 205260 216470 238117 256575 259764 324705 342100 432940 476234 513150 541175 649410 714351 952468 1026300 1082350 1190585 1298820 1428702 1623525 2164700 2381170 2857404 3247050 3571755 4762340 5952925 6494100 6732217 7143510 11905850 13464434 14287020 17858775 20196651 23811700 26928868 33661085 35717550 40393302 67322170 71435100 74054387 80786604 100983255 134644340 148108774 168305425 201966510 222163161 296217548 336610850 370271935 403933020 444326322 504916275 673221700 740543870 888652644 1009832550 1110815805 1481087740 1851359675 2019665100 2221631610 3702719350 4443263220 5554079025 7405438700 11108158050 22216316100