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2241031320 = 233351131559
BaseRepresentation
bin1000010110010011…
…0110110010011000
312210011220012001000
42011210312302120
514042201000240
61010213025000
7106351311003
oct20544666230
95704805030
102241031320
11a50005000
12526625160
13299399748
141738bc53a
15d1b24430
hex85936c98

2241031320 has 256 divisors, whose sum is σ = 8221824000. Its totient is φ = 542931840.

The previous prime is 2241031271. The next prime is 2241031321. The reversal of 2241031320 is 231301422.

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 = 2241031293 and 2241031302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241031321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1436701 + ... + 1438259.

It is an arithmetic number, because the mean of its divisors is an integer number (32116500).

Almost surely, 22241031320 is an apocalyptic number.

2241031320 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 2241031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110912000).

2241031320 is an abundant number, since it is smaller than the sum of its proper divisors (5980792680).

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

2241031320 is a wasteful number, since it uses less digits than its factorization.

2241031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2241031320 is about 47339.5323170815. The cubic root of 2241031320 is about 1308.6272977960.

Adding to 2241031320 its reverse (231301422), we get a palindrome (2472332742).

The spelling of 2241031320 in words is "two billion, two hundred forty-one million, thirty-one thousand, three hundred twenty".