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2210024140 = 22517193131093
BaseRepresentation
bin1000001110111010…
…0100101011001100
312201000112212011221
42003232210223030
514011231233030
61003144253124
7105523616032
oct20356445314
95630485157
102210024140
11a34556935
125181711a4
13292b311bc
1416d72a552
15ce04be7a
hex83ba4acc

2210024140 has 96 divisors (see below), whose sum is σ = 5193961920. Its totient is φ = 784982016.

The previous prime is 2210024111. The next prime is 2210024143. The reversal of 2210024140 is 414200122.

It is not an unprimeable number, because it can be changed into a prime (2210024143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2021434 + ... + 2022526.

It is an arithmetic number, because the mean of its divisors is an integer number (54103770).

Almost surely, 22210024140 is an apocalyptic number.

2210024140 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 2210024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596980960).

2210024140 is an abundant number, since it is smaller than the sum of its proper divisors (2983937780).

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

2210024140 is a wasteful number, since it uses less digits than its factorization.

2210024140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2210024140 is about 47010.8938438741. The cubic root of 2210024140 is about 1302.5638043562.

Adding to 2210024140 its reverse (414200122), we get a palindrome (2624224262).

The spelling of 2210024140 in words is "two billion, two hundred ten million, twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 313 323 340 380 626 646 1093 1252 1292 1565 1615 2186 3130 3230 4372 5321 5465 5947 6260 6460 10642 10930 11894 18581 20767 21284 21860 23788 26605 29735 37162 41534 53210 59470 74324 83068 92905 101099 103835 106420 118940 185810 202198 207670 342109 353039 371620 404396 415340 505495 684218 706078 1010990 1368436 1412156 1710545 1765195 2021980 3421090 3530390 5815853 6500071 6842180 7060780 11631706 13000142 23263412 26000284 29079265 32500355 58158530 65000710 110501207 116317060 130001420 221002414 442004828 552506035 1105012070 2210024140