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22002201040 = 2451724167129
BaseRepresentation
bin10100011111011011…
…101111000111010000
32002210101000121201211
4110133123233013100
5330030030413130
614035131305504
71406143423501
oct243733570720
962711017654
1022002201040
11937073a326
1243205ab294
1320c8442a91
1410ca194ba8
1588b915a2a
hex51f6ef1d0

22002201040 has 80 divisors (see below), whose sum is σ = 54389800080. Its totient is φ = 8248688640.

The previous prime is 22002201007. The next prime is 22002201041. The reversal of 22002201040 is 4010220022.

It can be written as a sum of positive squares in 8 ways, for example, as 2020682304 + 19981518736 = 44952^2 + 141356^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 22002201040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002201041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294196 + ... + 361324.

It is an arithmetic number, because the mean of its divisors is an integer number (679872501).

Almost surely, 222002201040 is an apocalyptic number.

22002201040 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 22002201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27194900040).

22002201040 is an abundant number, since it is smaller than the sum of its proper divisors (32387599040).

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

22002201040 is a wasteful number, since it uses less digits than its factorization.

22002201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67400 (or 67394 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22002201040 its reverse (4010220022), we get a palindrome (26012421062).

The spelling of 22002201040 in words is "twenty-two billion, two million, two hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 241 272 340 482 680 964 1205 1360 1928 2410 3856 4097 4820 8194 9640 16388 19280 20485 32776 40970 65552 67129 81940 134258 163880 268516 327760 335645 537032 671290 1074064 1141193 1342580 2282386 2685160 4564772 5370320 5705965 9129544 11411930 16178089 18259088 22823860 32356178 45647720 64712356 80890445 91295440 129424712 161780890 258849424 275027513 323561780 550055026 647123560 1100110052 1294247120 1375137565 2200220104 2750275130 4400440208 5500550260 11001100520 22002201040