Search a number
-
+
2223033696 = 2532131753659
BaseRepresentation
bin1000010010000000…
…1100110101100000
312201221000210221100
42010200030311200
514023044034241
61004331154400
7106042321542
oct20440146540
95657023840
102223033696
11a40932134
125205a5a00
13295737870
14171355692
15d026b9b6
hex8480cd60

2223033696 has 288 divisors, whose sum is σ = 7355668320. Its totient is φ = 630669312.

The previous prime is 2223033641. The next prime is 2223033719. The reversal of 2223033696 is 6963303222.

It is a happy number.

2223033696 is a `hidden beast` number, since 2 + 2 + 230 + 336 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2223033696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3373015 + ... + 3373673.

It is an arithmetic number, because the mean of its divisors is an integer number (25540515).

Almost surely, 22223033696 is an apocalyptic number.

2223033696 is a gapful number since it is divisible by the number (26) 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 2223033696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677834160).

2223033696 is an abundant number, since it is smaller than the sum of its proper divisors (5132634624).

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

2223033696 is a wasteful number, since it uses less digits than its factorization.

2223033696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 2223033696 is about 47149.0582726739. The cubic root of 2223033696 is about 1305.1147016810.

The spelling of 2223033696 in words is "two billion, two hundred twenty-three million, thirty-three thousand, six hundred ninety-six".