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2302014420 = 2232558721787
BaseRepresentation
bin1000100100110101…
…1111001111010100
312221102122110010100
42021031133033110
514203303430140
61020232054100
7111021541206
oct21115371724
95842573110
102302014420
11a81477562
12542b34330
132a8bcc014
1417ba34776
15d716d530
hex8935f3d4

2302014420 has 72 divisors (see below), whose sum is σ = 6994993824. Its totient is φ = 612796608.

The previous prime is 2302014419. The next prime is 2302014427. The reversal of 2302014420 is 244102032.

2302014420 is a `hidden beast` number, since 23 + 0 + 201 + 442 + 0 = 666.

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 = 2302014393 and 2302014402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302014427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94767 + ... + 116553.

It is an arithmetic number, because the mean of its divisors is an integer number (97152692).

Almost surely, 22302014420 is an apocalyptic number.

2302014420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2302014420 is an abundant number, since it is smaller than the sum of its proper divisors (4692979404).

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

2302014420 is a wasteful number, since it uses less digits than its factorization.

2302014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22389 (or 22384 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2302014420 is about 47979.3124169157. The cubic root of 2302014420 is about 1320.3913784356.

Adding to 2302014420 its reverse (244102032), we get a palindrome (2546116452).

The spelling of 2302014420 in words is "two billion, three hundred two million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 587 1174 1761 2348 2935 3522 5283 5870 7044 8805 10566 11740 17610 21132 21787 26415 35220 43574 52830 65361 87148 105660 108935 130722 196083 217870 261444 326805 392166 435740 653610 784332 980415 1307220 1960830 3921660 12788969 25577938 38366907 51155876 63944845 76733814 115100721 127889690 153467628 191834535 230201442 255779380 383669070 460402884 575503605 767338140 1151007210 2302014420