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2301004420 = 22511132927743
BaseRepresentation
bin1000100100100110…
…1000101010000100
312221100202010122221
42021021220222010
514203024120140
61020154302124
7111010133461
oct21111505204
95840663587
102301004420
11a80947750
12542727944
132a89373a0
1417b850668
15d701e14a
hex89268a84

2301004420 has 96 divisors (see below), whose sum is σ = 5872849920. Its totient is φ = 745704960.

The previous prime is 2301004411. The next prime is 2301004421. The reversal of 2301004420 is 244001032.

It is a junction number, because it is equal to n+sod(n) for n = 2301004394 and 2301004403.

It is not an unprimeable number, because it can be changed into a prime (2301004421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69069 + ... + 96811.

It is an arithmetic number, because the mean of its divisors is an integer number (61175520).

Almost surely, 22301004420 is an apocalyptic number.

2301004420 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 2301004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936424960).

2301004420 is an abundant number, since it is smaller than the sum of its proper divisors (3571845500).

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

2301004420 is a wasteful number, since it uses less digits than its factorization.

2301004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27805 (or 27803 counting only the distinct ones).

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

The square root of 2301004420 is about 47968.7858924947. The cubic root of 2301004420 is about 1320.1982446358.

Adding to 2301004420 its reverse (244001032), we get a palindrome (2545005452).

The spelling of 2301004420 in words is "two billion, three hundred one million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 29 44 52 55 58 65 110 116 130 143 145 220 260 286 290 319 377 572 580 638 715 754 1276 1430 1508 1595 1885 2860 3190 3770 4147 6380 7540 8294 16588 20735 27743 41470 55486 82940 110972 138715 277430 305173 360659 554860 610346 721318 804547 1220692 1442636 1525865 1609094 1803295 3051730 3218188 3606590 3967249 4022735 6103460 7213180 7934498 8045470 8850017 10459111 15868996 16090940 17700034 19836245 20918222 35400068 39672490 41836444 44250085 52295555 79344980 88500170 104591110 115050221 177000340 209182220 230100442 460200884 575251105 1150502210 2301004420