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2203102420 = 2251731434861
BaseRepresentation
bin1000001101010000…
…1010110011010100
312200112112012100221
42003110022303110
514002443234140
61002340044124
7105411030061
oct20324126324
95615465327
102203102420
11a30659502
12515993644
132915797cc
1416c847c68
15cd63114a
hex8350acd4

2203102420 has 96 divisors (see below), whose sum is σ = 5175346176. Its totient is φ = 783820800.

The previous prime is 2203102411. The next prime is 2203102423. The reversal of 2203102420 is 242013022.

It is a junction number, because it is equal to n+sod(n) for n = 2203102394 and 2203102403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2203102423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450790 + ... + 455650.

It is an arithmetic number, because the mean of its divisors is an integer number (53909856).

Almost surely, 22203102420 is an apocalyptic number.

2203102420 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 2203102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587673088).

2203102420 is an abundant number, since it is smaller than the sum of its proper divisors (2972243756).

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

2203102420 is a wasteful number, since it uses less digits than its factorization.

2203102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4959 counting only the distinct ones).

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

The square root of 2203102420 is about 46937.2178553437. The cubic root of 2203102420 is about 1301.2025204428.

Adding to 2203102420 its reverse (242013022), we get a palindrome (2445115442).

The spelling of 2203102420 in words is "two billion, two hundred three million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 43 62 68 85 86 124 155 170 172 215 310 340 430 527 620 731 860 1054 1333 1462 2108 2635 2666 2924 3655 4861 5270 5332 6665 7310 9722 10540 13330 14620 19444 22661 24305 26660 45322 48610 82637 90644 97220 113305 150691 165274 209023 226610 301382 330548 413185 418046 453220 602764 753455 826370 836092 1045115 1506910 1652740 2090230 2561747 3013820 3553391 4180460 5123494 6479713 7106782 10246988 12808735 12959426 14213564 17766955 25617470 25918852 32398565 35533910 51234940 64797130 71067820 110155121 129594260 220310242 440620484 550775605 1101551210 2203102420