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2210040140 = 2257211439467
BaseRepresentation
bin1000001110111010…
…1000100101001100
312201000120200010112
42003232220211030
514011232241030
61003144455152
7105524013500
oct20356504514
95630520115
102210040140
11a34567960
1251817a4b8
13292b38579
1416d732300
15ce051a95
hex83ba894c

2210040140 has 144 divisors (see below), whose sum is σ = 5915669760. Its totient is φ = 685802880.

The previous prime is 2210040139. The next prime is 2210040197. The reversal of 2210040140 is 410400122.

It is a super-2 number, since 2×22100401402 = 9768554840822439200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4732187 + ... + 4732653.

It is an arithmetic number, because the mean of its divisors is an integer number (41081040).

Almost surely, 22210040140 is an apocalyptic number.

2210040140 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 2210040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957834880).

2210040140 is an abundant number, since it is smaller than the sum of its proper divisors (3705629620).

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

2210040140 is a wasteful number, since it uses less digits than its factorization.

2210040140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2210040140 is about 47011.0640168886. The cubic root of 2210040140 is about 1302.5669477564.

Adding to 2210040140 its reverse (410400122), we get a palindrome (2620440262).

The spelling of 2210040140 in words is "two billion, two hundred ten million, forty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 439 467 490 539 770 878 934 980 1078 1540 1756 1868 2156 2195 2335 2695 3073 3269 4390 4670 4829 5137 5390 6146 6538 8780 9340 9658 10274 10780 12292 13076 15365 16345 19316 20548 21511 22883 24145 25685 30730 32690 33803 35959 43022 45766 48290 51370 61460 65380 67606 71918 86044 91532 96580 102740 107555 114415 135212 143836 169015 179795 205013 215110 228830 236621 251713 338030 359590 410026 430220 457660 473242 503426 676060 719180 820052 946484 1006852 1025065 1183105 1258565 1435091 2050130 2255143 2366210 2517130 2870182 4100260 4510286 4732420 5034260 5740364 7175455 9020572 10045637 11275715 14350910 15786001 20091274 22551430 28701820 31572002 40182548 45102860 50228185 63144004 78930005 100456370 110502007 157860010 200912740 221004014 315720020 442008028 552510035 1105020070 2210040140