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2301002320 = 245181158909
BaseRepresentation
bin1000100100100110…
…1000001001010000
312221100202000210011
42021021220021100
514203024033240
61020154244304
7111010124401
oct21111501120
95840660704
102301002320
11a80946111
12542726694
132a8936446
1417b84d9a8
15d701d6ea
hex89268250

2301002320 has 40 divisors (see below), whose sum is σ = 5379421320. Its totient is φ = 915310080.

The previous prime is 2301002233. The next prime is 2301002323. The reversal of 2301002320 is 232001032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 147671104 + 2153331216 = 12152^2 + 46404^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×23010023202 = 10589223353290764800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2301002320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301002323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64975 + ... + 93934.

It is an arithmetic number, because the mean of its divisors is an integer number (134485533).

Almost surely, 22301002320 is an apocalyptic number.

2301002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301002320 is an abundant number, since it is smaller than the sum of its proper divisors (3078419000).

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

2301002320 is a wasteful number, since it uses less digits than its factorization.

2301002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159103 (or 159097 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2301002320 is about 47968.7640032553. The cubic root of 2301002320 is about 1320.1978430117.

Adding to 2301002320 its reverse (232001032), we get a palindrome (2533003352).

The spelling of 2301002320 in words is "two billion, three hundred one million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 7240 14480 158909 317818 635636 794545 1271272 1589090 2542544 3178180 6356360 12712720 28762529 57525058 115050116 143812645 230100232 287625290 460200464 575250580 1150501160 2301002320