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2231599104 = 2153272347
BaseRepresentation
bin1000010100000011…
…1000000000000000
312202112010222110200
42011000320000000
514032242132404
61005234525200
7106205164560
oct20500700000
95675128420
102231599104
11a45752489
12523436800
13297446457
14172544da0
15d0dae839
hex85038000

2231599104 has 384 divisors, whose sum is σ = 7851617280. Its totient is φ = 596901888.

The previous prime is 2231599103. The next prime is 2231599109. The reversal of 2231599104 is 4019951322.

2231599104 is a `hidden beast` number, since 22 + 31 + 599 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×22315991043 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231599103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47480809 + ... + 47480855.

It is an arithmetic number, because the mean of its divisors is an integer number (20446920).

Almost surely, 22231599104 is an apocalyptic number.

2231599104 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 2231599104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925808640).

2231599104 is an abundant number, since it is smaller than the sum of its proper divisors (5620018176).

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

2231599104 is an equidigital number, since it uses as much as digits as its factorization.

2231599104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2231599104 is about 47239.8042332946. The cubic root of 2231599104 is about 1306.7887673396.

The spelling of 2231599104 in words is "two billion, two hundred thirty-one million, five hundred ninety-nine thousand, one hundred four".