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226003530240 = 29375371091
BaseRepresentation
bin1101001001111011011…
…1000011001000000000
3210121100120111220000000
43102132313003020000
512200323400431430
6251454040000000
722220402211345
oct3223667031000
9717316456000
10226003530240
1187936112364
1237974160000
131840972a667
14ad1d8547cc
155d2b2c3e60
hex349edc3200

226003530240 has 640 divisors, whose sum is σ = 835424029440. Its totient is φ = 58585006080.

The previous prime is 226003530227. The next prime is 226003530241. The reversal of 226003530240 is 42035300622.

226003530240 is a `hidden beast` number, since 2 + 2 + 600 + 3 + 5 + 30 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226003530241) 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, 207152095 + ... + 207153185.

It is an arithmetic number, because the mean of its divisors is an integer number (1305350046).

Almost surely, 2226003530240 is an apocalyptic number.

226003530240 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 226003530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417712014720).

226003530240 is an abundant number, since it is smaller than the sum of its proper divisors (609420499200).

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

226003530240 is an frugal number, since it uses more digits than its factorization.

226003530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 226003530240 its reverse (42035300622), we get a palindrome (268038830862).

The spelling of 226003530240 in words is "two hundred twenty-six billion, three million, five hundred thirty thousand, two hundred forty".