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2230032120 = 23351731179197
BaseRepresentation
bin1000010011101011…
…1001011011111000
312202102012100222020
42010322321123320
514031342011440
61005141154440
7106155650241
oct20472713370
95672170866
102230032120
11a44882158
125229bba20
13297018144
14172257cc8
15d0ba03d0
hex84eb96f8

2230032120 has 256 divisors, whose sum is σ = 7390310400. Its totient is φ = 535879680.

The previous prime is 2230032059. The next prime is 2230032121. The reversal of 2230032120 is 212300322.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2230032120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230032121) 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 63 ways as a sum of consecutive naturals, for example, 11319862 + ... + 11320058.

It is an arithmetic number, because the mean of its divisors is an integer number (28868400).

Almost surely, 22230032120 is an apocalyptic number.

2230032120 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 2230032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695155200).

2230032120 is an abundant number, since it is smaller than the sum of its proper divisors (5160278280).

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

2230032120 is a wasteful number, since it uses less digits than its factorization.

2230032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2230032120 is about 47223.2159006563. The cubic root of 2230032120 is about 1306.4828287921.

Adding to 2230032120 its reverse (212300322), we get a palindrome (2442332442).

The spelling of 2230032120 in words is "two billion, two hundred thirty million, thirty-two thousand, one hundred twenty".