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2722230468 = 2232174448089
BaseRepresentation
bin1010001001000001…
…1111000011000100
321000201100122011200
42202100133003010
521033342333333
61130042502500
7124313401656
oct24220370304
97021318150
102722230468
1111776a0051
1263b804a30
13344c9b179
141bb77c6d6
1510dec6c13
hexa241f0c4

2722230468 has 36 divisors (see below), whose sum is σ = 7285971420. Its totient is φ = 854032896.

The previous prime is 2722230463. The next prime is 2722230473. The reversal of 2722230468 is 8640322272.

It is a happy number.

2722230468 is a `hidden beast` number, since 272 + 22 + 304 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (2722230463) and next prime (2722230473).

It can be written as a sum of positive squares in 2 ways, for example, as 1964439684 + 757790784 = 44322^2 + 27528^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (2722230463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2223433 + ... + 2224656.

It is an arithmetic number, because the mean of its divisors is an integer number (202388095).

Almost surely, 22722230468 is an apocalyptic number.

It is an amenable number.

2722230468 is an abundant number, since it is smaller than the sum of its proper divisors (4563740952).

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

2722230468 is a wasteful number, since it uses less digits than its factorization.

2722230468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448116 (or 4448111 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2722230468 is about 52174.9984954480. The cubic root of 2722230468 is about 1396.2878645176.

The spelling of 2722230468 in words is "two billion, seven hundred twenty-two million, two hundred thirty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 4448089 8896178 13344267 17792356 26688534 40032801 53377068 75617513 80065602 151235026 160131204 226852539 302470052 453705078 680557617 907410156 1361115234 2722230468