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2301400420 = 2251143673631
BaseRepresentation
bin1000100100101100…
…1001010101100100
312221101111020212121
42021023021111210
514203124303140
61020210555324
7111013403134
oct21113112544
95841436777
102301400420
11a81098220
12542898b44
132a8a456c7
1417b914ac4
15d709b64a
hex892c9564

2301400420 has 96 divisors (see below), whose sum is σ = 5476939776. Its totient is φ = 804988800.

The previous prime is 2301400399. The next prime is 2301400457. The reversal of 2301400420 is 240041032.

It is a junction number, because it is equal to n+sod(n) for n = 2301400394 and 2301400403.

It is an unprimeable number.

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, 632005 + ... + 635635.

It is an arithmetic number, because the mean of its divisors is an integer number (57051456).

Almost surely, 22301400420 is an apocalyptic number.

2301400420 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 2301400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738469888).

2301400420 is an abundant number, since it is smaller than the sum of its proper divisors (3175539356).

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

2301400420 is a wasteful number, since it uses less digits than its factorization.

2301400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3759 counting only the distinct ones).

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

The square root of 2301400420 is about 47972.9133991256. The cubic root of 2301400420 is about 1320.2739751172.

Adding to 2301400420 its reverse (240041032), we get a palindrome (2541441452).

The spelling of 2301400420 in words is "two billion, three hundred one million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 67 86 110 134 172 215 220 268 335 430 473 670 737 860 946 1340 1474 1892 2365 2881 2948 3631 3685 4730 5762 7262 7370 9460 11524 14405 14524 14740 18155 28810 31691 36310 39941 57620 63382 72620 79882 126764 156133 158455 159764 199705 243277 312266 316910 399410 486554 624532 633820 780665 798820 973108 1216385 1561330 1717463 2432770 2676047 3122660 3434926 4865540 5352094 6869852 8587315 10460911 10704188 13380235 17174630 20921822 26760470 34349260 41843644 52304555 53520940 104609110 115070021 209218220 230140042 460280084 575350105 1150700210 2301400420