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2230061904 = 2432717181719
BaseRepresentation
bin1000010011101100…
…0000101101010000
312202102020212211100
42010323000231100
514031343440104
61005141544400
7106156133130
oct20473005520
95672225740
102230061904
11a448a2574
12522a15100
13297028875
14172264ac0
15d0ba9139
hex84ec0b50

2230061904 has 240 divisors, whose sum is σ = 7604513280. Its totient is φ = 595537920.

The previous prime is 2230061879. The next prime is 2230061909. The reversal of 2230061904 is 4091600322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230061909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3101257 + ... + 3101975.

It is an arithmetic number, because the mean of its divisors is an integer number (31685472).

Almost surely, 22230061904 is an apocalyptic number.

2230061904 is a gapful number since it is divisible by the number (24) 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 2230061904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802256640).

2230061904 is an abundant number, since it is smaller than the sum of its proper divisors (5374451376).

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

2230061904 is a wasteful number, since it uses less digits than its factorization.

2230061904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2230061904 is about 47223.5312529675. The cubic root of 2230061904 is about 1306.4886451674.

The spelling of 2230061904 in words is "two billion, two hundred thirty million, sixty-one thousand, nine hundred four".