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2304221420 = 2252397113457
BaseRepresentation
bin1000100101010111…
…1010000011101100
312221120210120120002
42021111322003230
514204340041140
61020351243432
7111046362464
oct21125720354
95846716502
102304221420
11a82744726
12543819578
132a94c2737
1417c04aba4
15d7457415
hex8957a0ec

2304221420 has 96 divisors (see below), whose sum is σ = 5157710208. Its totient is φ = 862912512.

The previous prime is 2304221407. The next prime is 2304221461. The reversal of 2304221420 is 241224032.

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

It is a junction number, because it is equal to n+sod(n) for n = 2304221392 and 2304221401.

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, 5041832 + ... + 5042288.

It is an arithmetic number, because the mean of its divisors is an integer number (53726148).

Almost surely, 22304221420 is an apocalyptic number.

2304221420 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 2304221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578855104).

2304221420 is an abundant number, since it is smaller than the sum of its proper divisors (2853488788).

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

2304221420 is a wasteful number, since it uses less digits than its factorization.

2304221420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2304221420 is about 48002.3064029219. The cubic root of 2304221420 is about 1320.8132079671.

Adding to 2304221420 its reverse (241224032), we get a palindrome (2545445452).

The spelling of 2304221420 in words is "two billion, three hundred four million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 97 113 115 194 226 230 388 452 457 460 485 565 914 970 1130 1828 1940 2231 2260 2285 2599 4462 4570 5198 8924 9140 10396 10511 10961 11155 12995 21022 21922 22310 25990 42044 43844 44329 44620 51641 51980 52555 54805 88658 103282 105110 109610 177316 206564 210220 219220 221645 252103 258205 443290 504206 516410 886580 1008412 1019567 1032820 1187743 1260515 2039134 2375486 2521030 4078268 4750972 5009177 5042060 5097835 5938715 10018354 10195670 11877430 20036708 20391340 23754860 25045885 50091770 100183540 115211071 230422142 460844284 576055355 1152110710 2304221420