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2220307264 = 2677367891
BaseRepresentation
bin1000010001010111…
…0011001101000000
312201201220021222101
42010111303031000
514021344313024
61004152520144
7106010205010
oct20425631500
95651807871
102220307264
11a3a33a78a
1251b6b0054
13294cc18a6
14170c45c40
15cedcdc44
hex84573340

2220307264 has 56 divisors (see below), whose sum is σ = 5104392128. Its totient is φ = 938511360.

The previous prime is 2220307261. The next prime is 2220307267. The reversal of 2220307264 is 4627030222.

It is an interprime number because it is at equal distance from previous prime (2220307261) and next prime (2220307267).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220307261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1242 + ... + 66649.

Almost surely, 22220307264 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 2220307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552196064).

2220307264 is an abundant number, since it is smaller than the sum of its proper divisors (2884084864).

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

2220307264 is an equidigital number, since it uses as much as digits as its factorization.

2220307264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67983 (or 67973 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 2220307264 is about 47120.1365023490. The cubic root of 2220307264 is about 1304.5809322686.

Adding to 2220307264 its reverse (4627030222), we get a palindrome (6847337486).

The spelling of 2220307264 in words is "two billion, two hundred twenty million, three hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 146 224 292 448 511 584 1022 1168 2044 2336 4088 4672 8176 16352 32704 67891 135782 271564 475237 543128 950474 1086256 1900948 2172512 3801896 4345024 4956043 7603792 9912086 15207584 19824172 30415168 34692301 39648344 69384602 79296688 138769204 158593376 277538408 317186752 555076816 1110153632 2220307264