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22120020200 = 23521515091439
BaseRepresentation
bin10100100110011101…
…001011100011101000
32010002120201110020102
4110212131023203220
5330300211121300
614054540444532
71412104032545
oct244635134350
963076643212
1022120020200
1194211a1633
124353b49748
132116985165
1410dbaa3bcc
15896e3a0d5
hex52674b8e8

22120020200 has 96 divisors (see below), whose sum is σ = 51907392000. Its totient is φ = 8766048000.

The previous prime is 22120020199. The next prime is 22120020233. The reversal of 22120020200 is 202002122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15371081 + ... + 15372519.

It is an arithmetic number, because the mean of its divisors is an integer number (540702000).

Almost surely, 222120020200 is an apocalyptic number.

22120020200 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 22120020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25953696000).

22120020200 is an abundant number, since it is smaller than the sum of its proper divisors (29787371800).

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

22120020200 is a wasteful number, since it uses less digits than its factorization.

22120020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22120020200 its reverse (202002122), we get a palindrome (22322022322).

The spelling of 22120020200 in words is "twenty-two billion, one hundred twenty million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 509 604 755 1018 1208 1439 1510 2036 2545 2878 3020 3775 4072 5090 5756 6040 7195 7550 10180 11512 12725 14390 15100 20360 25450 28780 30200 35975 50900 57560 71950 76859 101800 143900 153718 217289 287800 307436 384295 434578 614872 732451 768590 869156 1086445 1464902 1537180 1738312 1921475 2172890 2929804 3074360 3662255 3842950 4345780 5432225 5859608 7324510 7685900 8691560 10864450 14649020 15371800 18311275 21728900 29298040 36622550 43457800 73245100 110600101 146490200 221200202 442400404 553000505 884800808 1106001010 2212002020 2765002525 4424004040 5530005050 11060010100 22120020200