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2221314240 = 263523372719
BaseRepresentation
bin1000010001100110…
…1001000011000000
312201210210110021210
42010121221003000
514022124023430
61004230250120
7106021600545
oct20431510300
95653713253
102221314240
11a3a9682a2
1251bab6940
13295285032
14171028bcc
15d002c2b0
hex846690c0

2221314240 has 224 divisors, whose sum is σ = 7560990720. Its totient is φ = 551079936.

The previous prime is 2221314223. The next prime is 2221314257. The reversal of 2221314240 is 424131222.

It is an interprime number because it is at equal distance from previous prime (2221314223) and next prime (2221314257).

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, 815601 + ... + 818319.

Almost surely, 22221314240 is an apocalyptic number.

2221314240 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 2221314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780495360).

2221314240 is an abundant number, since it is smaller than the sum of its proper divisors (5339676480).

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

2221314240 is a wasteful number, since it uses less digits than its factorization.

2221314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2221314240 is about 47130.8204893571. The cubic root of 2221314240 is about 1304.7781246665.

Adding to 2221314240 its reverse (424131222), we get a palindrome (2645445462).

The spelling of 2221314240 in words is "two billion, two hundred twenty-one million, three hundred fourteen thousand, two hundred forty".