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2229323040 = 25335773721
BaseRepresentation
bin1000010011100000…
…1100010100100000
312202100212100022000
42010320030110200
514031201314130
61005114044000
7106146635040
oct20470142440
95670770260
102229323040
11a4443843a
12522719600
13296b2a479
14172111720
15d0ab0260
hex84e0c520

2229323040 has 192 divisors, whose sum is σ = 8917413120. Its totient is φ = 509552640.

The previous prime is 2229323011. The next prime is 2229323059. The reversal of 2229323040 is 403239222.

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

It is a junction number, because it is equal to n+sod(n) for n = 2229322995 and 2229323013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6621 + ... + 67100.

It is an arithmetic number, because the mean of its divisors is an integer number (46444860).

Almost surely, 22229323040 is an apocalyptic number.

2229323040 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 2229323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458706560).

2229323040 is an abundant number, since it is smaller than the sum of its proper divisors (6688090080).

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

2229323040 is a wasteful number, since it uses less digits than its factorization.

2229323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73752 (or 73738 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2229323040 is about 47215.7075558548. The cubic root of 2229323040 is about 1306.3443406448.

The spelling of 2229323040 in words is "two billion, two hundred twenty-nine million, three hundred twenty-three thousand, forty".