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2303022420 = 2232547926711
BaseRepresentation
bin1000100101000101…
…0101010101010100
312221111112122211200
42021101111111110
514204033204140
61020305432500
7111033240036
oct21121252524
95844478750
102303022420
11a81aa5916
1254333b730
132a9192a7a
1417bc17c56
15d72bc030
hex89455554

2303022420 has 72 divisors (see below), whose sum is σ = 7000680960. Its totient is φ = 612834240.

The previous prime is 2303022401. The next prime is 2303022427. The reversal of 2303022420 is 242203032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2303022393 and 2303022402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303022427) 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 23 ways as a sum of consecutive naturals, for example, 72865 + ... + 99575.

It is an arithmetic number, because the mean of its divisors is an integer number (97231680).

Almost surely, 22303022420 is an apocalyptic number.

2303022420 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 2303022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500340480).

2303022420 is an abundant number, since it is smaller than the sum of its proper divisors (4697658540).

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

2303022420 is a wasteful number, since it uses less digits than its factorization.

2303022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27205 (or 27200 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2303022420 is about 47989.8157946038. The cubic root of 2303022420 is about 1320.5840734770.

Adding to 2303022420 its reverse (242203032), we get a palindrome (2545225452).

The spelling of 2303022420 in words is "two billion, three hundred three million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 479 958 1437 1916 2395 2874 4311 4790 5748 7185 8622 9580 14370 17244 21555 26711 28740 43110 53422 80133 86220 106844 133555 160266 240399 267110 320532 400665 480798 534220 801330 961596 1201995 1602660 2403990 4807980 12794569 25589138 38383707 51178276 63972845 76767414 115151121 127945690 153534828 191918535 230302242 255891380 383837070 460604484 575755605 767674140 1151511210 2303022420