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2303213220 = 22325711215107
BaseRepresentation
bin1000100101001000…
…0011111010100100
312221111220100120100
42021102003322210
514204110310340
61020313504100
7111034663230
oct21122037244
95844810510
102303213220
11a82116200
12543412030
132a922b879
1417bc675c0
15d7308830
hex89483ea4

2303213220 has 216 divisors, whose sum is σ = 8776901952. Its totient is φ = 478558080.

The previous prime is 2303213219. The next prime is 2303213279. The reversal of 2303213220 is 223123032.

It is a happy number.

2303213220 is a `hidden beast` number, since 23 + 0 + 321 + 322 + 0 = 666.

It is a super-2 number, since 2×23032132202 = 10609582273565536800, which contains 22 as substring.

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 = 2303213193 and 2303213202.

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 71 ways as a sum of consecutive naturals, for example, 144907 + ... + 160013.

Almost surely, 22303213220 is an apocalyptic number.

2303213220 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 2303213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388450976).

2303213220 is an abundant number, since it is smaller than the sum of its proper divisors (6473688732).

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

2303213220 is a wasteful number, since it uses less digits than its factorization.

2303213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15151 (or 15135 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2303213220 is about 47991.8036752110. The cubic root of 2303213220 is about 1320.6205415665.

Adding to 2303213220 its reverse (223123032), we get a palindrome (2526336252).

The spelling of 2303213220 in words is "two billion, three hundred three million, two hundred thirteen thousand, two hundred twenty".