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2221292280 = 23351943139163
BaseRepresentation
bin1000010001100110…
…0011101011111000
312201210202100011110
42010121203223320
514022122323110
61004230000320
7106021446534
oct20431435370
95653670143
102221292280
11a3a952849
1251baa60a0
1329527803c
14171020bc4
15d0025a20
hex84663af8

2221292280 has 256 divisors, whose sum is σ = 7273728000. Its totient is φ = 540836352.

The previous prime is 2221292243. The next prime is 2221292317. The reversal of 2221292280 is 822921222.

It is an interprime number because it is at equal distance from previous prime (2221292243) and next prime (2221292317).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13627479 + ... + 13627641.

It is an arithmetic number, because the mean of its divisors is an integer number (28413000).

Almost surely, 22221292280 is an apocalyptic number.

2221292280 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 2221292280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636864000).

2221292280 is an abundant number, since it is smaller than the sum of its proper divisors (5052435720).

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

2221292280 is a wasteful number, since it uses less digits than its factorization.

2221292280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2221292280 is about 47130.5875202081. The cubic root of 2221292280 is about 1304.7738249564.

The spelling of 2221292280 in words is "two billion, two hundred twenty-one million, two hundred ninety-two thousand, two hundred eighty".