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2234010240 = 273357112373
BaseRepresentation
bin1000010100101000…
…0100101010000000
312202200200110221000
42011022010222000
514033401311430
61005402332000
7106234526250
oct20512045200
95680613830
102234010240
11a47049a60
125241ba000
13297aaba67
141729b1960
15d11d8e60
hex85284a80

2234010240 has 1024 divisors, whose sum is σ = 10434355200. Its totient is φ = 437944320.

The previous prime is 2234010227. The next prime is 2234010283. The reversal of 2234010240 is 420104322.

2234010240 is a `hidden beast` number, since 2 + 23 + 401 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30602844 + ... + 30602916.

It is an arithmetic number, because the mean of its divisors is an integer number (10189800).

Almost surely, 22234010240 is an apocalyptic number.

2234010240 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 2234010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217177600).

2234010240 is an abundant number, since it is smaller than the sum of its proper divisors (8200344960).

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

2234010240 is a wasteful number, since it uses less digits than its factorization.

2234010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2234010240 is about 47265.3175171817. The cubic root of 2234010240 is about 1307.2592388410.

Adding to 2234010240 its reverse (420104322), we get a palindrome (2654114562).

The spelling of 2234010240 in words is "two billion, two hundred thirty-four million, ten thousand, two hundred forty".