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2223644672 = 2135212
BaseRepresentation
bin1000010010001010…
…0010000000000000
312201222011212001002
42010202202000000
514023223112142
61004352231132
7106050445034
oct20442420000
95658155032
102223644672
11a4120a177
1252083b4a8
132958bc9a2
141714741c4
15d033ca32
hex848a2000

2223644672 has 42 divisors (see below), whose sum is σ = 4455569829. Its totient is φ = 1109688320.

The previous prime is 2223644641. The next prime is 2223644677. The reversal of 2223644672 is 2764463222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2117472256 + 106172416 = 46016^2 + 10304^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33344.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2223644677) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4267772 + ... + 4268292.

Almost surely, 22223644672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223644672

2223644672 is an abundant number, since it is smaller than the sum of its proper divisors (2231925157).

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

2223644672 is an frugal number, since it uses more digits than its factorization.

2223644672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 523 counting only the distinct ones).

The product of its digits is 193536, while the sum is 38.

The square root of 2223644672 is about 47155.5370237685. The cubic root of 2223644672 is about 1305.2342561321.

The spelling of 2223644672 in words is "two billion, two hundred twenty-three million, six hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 521 1024 1042 2048 2084 4096 4168 8192 8336 16672 33344 66688 133376 266752 271441 533504 542882 1067008 1085764 2134016 2171528 4268032 4343056 8686112 17372224 34744448 69488896 138977792 277955584 555911168 1111822336 2223644672