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2213340140 = 22511234211039
BaseRepresentation
bin1000001111101100…
…1110001111101100
312201020210022212202
42003323032033230
514013103341030
61003343321032
7105564036464
oct20373161754
95636708782
102213340140
11a36411230
125192b0178
1329372262b
1416dd50ba4
15ce4a4745
hex83ece3ec

2213340140 has 96 divisors (see below), whose sum is σ = 5308692480. Its totient is φ = 767289600.

The previous prime is 2213340137. The next prime is 2213340169. The reversal of 2213340140 is 410433122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2129741 + ... + 2130779.

It is an arithmetic number, because the mean of its divisors is an integer number (55298880).

Almost surely, 22213340140 is an apocalyptic number.

2213340140 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 2213340140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654346240).

2213340140 is an abundant number, since it is smaller than the sum of its proper divisors (3095352340).

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

2213340140 is a wasteful number, since it uses less digits than its factorization.

2213340140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2213340140 is about 47046.1490453788. The cubic root of 2213340140 is about 1303.2149500485.

Adding to 2213340140 its reverse (410433122), we get a palindrome (2623773262).

The spelling of 2213340140 in words is "two billion, two hundred thirteen million, three hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 421 460 506 842 1012 1039 1265 1684 2078 2105 2530 4156 4210 4631 5060 5195 8420 9262 9683 10390 11429 18524 19366 20780 22858 23155 23897 38732 45716 46310 47794 48415 57145 92620 95588 96830 106513 114290 119485 193660 213026 228580 238970 262867 426052 437419 477940 525734 532565 874838 1051468 1065130 1314335 1749676 2130260 2187095 2628670 4374190 4811609 5257340 8748380 9623218 10060637 19246436 20121274 24058045 40242548 48116090 50303185 96232180 100606370 110667007 201212740 221334014 442668028 553335035 1106670070 2213340140