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2220607488 = 211311229103
BaseRepresentation
bin1000010001011011…
…1100100000000000
312201202110112210210
42010112330200000
514021433414423
61004203154120
7106012565211
oct20426744000
95652415723
102220607488
11a3a525300
1251b815940
13295098438
14170cc3408
15cee3cb93
hex845bc800

2220607488 has 288 divisors, whose sum is σ = 6797044800. Its totient is φ = 643399680.

The previous prime is 2220607483. The next prime is 2220607489. The reversal of 2220607488 is 8847060222.

It is not an unprimeable number, because it can be changed into a prime (2220607483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21559245 + ... + 21559347.

It is an arithmetic number, because the mean of its divisors is an integer number (23600850).

Almost surely, 22220607488 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 2220607488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398522400).

2220607488 is an abundant number, since it is smaller than the sum of its proper divisors (4576437312).

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

2220607488 is a wasteful number, since it uses less digits than its factorization.

2220607488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2220607488 is about 47123.3221239759. The cubic root of 2220607488 is about 1304.6397302647.

The spelling of 2220607488 in words is "two billion, two hundred twenty million, six hundred seven thousand, four hundred eighty-eight".