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2240130220 = 2253725711779
BaseRepresentation
bin1000010110000101…
…1010110010101100
312210010012101221221
42011201122302230
514041433131340
61010141433124
7106340535616
oct20541326254
95703171857
102240130220
11a4a549a99
1252626b7a4
13299142553
14173725db6
15d19e744a
hex8585acac

2240130220 has 48 divisors (see below), whose sum is σ = 4850627040. Its totient is φ = 868368384.

The previous prime is 2240130209. The next prime is 2240130223. The reversal of 2240130220 is 220310422.

It is a junction number, because it is equal to n+sod(n) for n = 2240130194 and 2240130203.

It is not an unprimeable number, because it can be changed into a prime (2240130223) 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, 184291 + ... + 196069.

It is an arithmetic number, because the mean of its divisors is an integer number (101054730).

Almost surely, 22240130220 is an apocalyptic number.

2240130220 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 2240130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425313520).

2240130220 is an abundant number, since it is smaller than the sum of its proper divisors (2610496820).

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

2240130220 is a wasteful number, since it uses less digits than its factorization.

2240130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12082 (or 12080 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2240130220 is about 47330.0139446419. The cubic root of 2240130220 is about 1308.4518782422.

Adding to 2240130220 its reverse (220310422), we get a palindrome (2460440642).

The spelling of 2240130220 in words is "two billion, two hundred forty million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 257 370 514 740 1028 1285 2570 5140 9509 11779 19018 23558 38036 47116 47545 58895 95090 117790 190180 235580 435823 871646 1743292 2179115 3027203 4358230 6054406 8716460 12108812 15136015 30272030 60544060 112006511 224013022 448026044 560032555 1120065110 2240130220