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2300021320 = 235299720441
BaseRepresentation
bin1000100100010111…
…1000101001001000
312221021220012002211
42021011320221020
514202301140240
61020121234504
7110665600342
oct21105705110
95837805084
102300021320
11a80336073
12542332a34
132a8681a7c
1417b676292
15d6dc7bea
hex89178a48

2300021320 has 64 divisors (see below), whose sum is σ = 5408953200. Its totient is φ = 879083520.

The previous prime is 2300021267. The next prime is 2300021329. The reversal of 2300021320 is 231200032.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1387860516 + 912160804 = 37254^2 + 30202^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2300021320.

It is not an unprimeable number, because it can be changed into a prime (2300021329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102300 + ... + 122740.

Almost surely, 22300021320 is an apocalyptic number.

2300021320 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 2300021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704476600).

2300021320 is an abundant number, since it is smaller than the sum of its proper divisors (3108931880).

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

2300021320 is a wasteful number, since it uses less digits than its factorization.

2300021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20578 (or 20574 counting only the distinct ones).

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

The square root of 2300021320 is about 47958.5375089775. The cubic root of 2300021320 is about 1320.0102004109.

Adding to 2300021320 its reverse (231200032), we get a palindrome (2531221352).

The spelling of 2300021320 in words is "two billion, three hundred million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 97 116 145 194 232 290 388 485 580 776 970 1160 1940 2813 3880 5626 11252 14065 20441 22504 28130 40882 56260 81764 102205 112520 163528 204410 408820 592789 817640 1185578 1982777 2371156 2963945 3965554 4742312 5927890 7931108 9913885 11855780 15862216 19827770 23711560 39655540 57500533 79311080 115001066 230002132 287502665 460004264 575005330 1150010660 2300021320