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2303223120 = 2433511315359
BaseRepresentation
bin1000100101001000…
…0110010101010000
312221111220212011000
42021102012111100
514204111114440
61020314022000
7111035034132
oct21122062520
95844825130
102303223120
11a82122690
12543417900
132a9233223
1417bc6b052
15d730b730
hex89486550

2303223120 has 640 divisors, whose sum is σ = 9256550400. Its totient is φ = 521164800.

The previous prime is 2303223049. The next prime is 2303223133. The reversal of 2303223120 is 213223032.

It is a happy number.

2303223120 is a `hidden beast` number, since 2 + 30 + 322 + 312 + 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 = 2303223093 and 2303223102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39037651 + ... + 39037709.

It is an arithmetic number, because the mean of its divisors is an integer number (14463360).

Almost surely, 22303223120 is an apocalyptic number.

2303223120 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 2303223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628275200).

2303223120 is an abundant number, since it is smaller than the sum of its proper divisors (6953327280).

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

2303223120 is a wasteful number, since it uses less digits than its factorization.

2303223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

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

The square root of 2303223120 is about 47991.9068177125. The cubic root of 2303223120 is about 1320.6224337238.

Adding to 2303223120 its reverse (213223032), we get a palindrome (2516446152).

The spelling of 2303223120 in words is "two billion, three hundred three million, two hundred twenty-three thousand, one hundred twenty".