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22005155200 = 275272140339
BaseRepresentation
bin10100011111100111…
…000000010110000000
32002210120120201002011
4110133213000112000
5330031304431300
614035314502304
71406210506300
oct243747002600
962716521064
1022005155200
119372377886
124321594994
1320c8c385c2
1410ca723600
1588bceaeba
hex51f9c0580

22005155200 has 144 divisors (see below), whose sum is σ = 63235098900. Its totient is φ = 7544570880.

The previous prime is 22005155167. The next prime is 22005155201. The reversal of 22005155200 is 255150022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22005155201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 86631 + ... + 226969.

Almost surely, 222005155200 is an apocalyptic number.

22005155200 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 22005155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31617549450).

22005155200 is an abundant number, since it is smaller than the sum of its proper divisors (41229943700).

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

22005155200 is a wasteful number, since it uses less digits than its factorization.

22005155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140377 (or 140353 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The spelling of 22005155200 in words is "twenty-two billion, five million, one hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 196 200 224 245 280 320 350 392 400 448 490 560 640 700 784 800 896 980 1120 1225 1400 1568 1600 1960 2240 2450 2800 3136 3200 3920 4480 4900 5600 6272 7840 9800 11200 15680 19600 22400 31360 39200 78400 140339 156800 280678 561356 701695 982373 1122712 1403390 1964746 2245424 2806780 3508475 3929492 4490848 4911865 5613560 6876611 7016950 7858984 8981696 9823730 11227120 13753222 14033900 15717968 17963392 19647460 22454240 24559325 27506444 28067800 31435936 34383055 39294920 44908480 49118650 55012888 56135600 62871872 68766110 78589840 89816960 98237300 110025776 112271200 125743744 137532220 157179680 171915275 196474600 220051552 224542400 275064440 314359360 343830550 392949200 440103104 449084800 550128880 628718720 687661100 785898400 880206208 1100257760 1375322200 1571796800 2200515520 2750644400 3143593600 4401031040 5501288800 11002577600 22005155200