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2243286528 = 29371979139
BaseRepresentation
bin1000010110110101…
…1101011000000000
312210100010202121020
42011231131120000
514043240132103
61010333225440
7106406422650
oct20555353000
95710122536
102243286528
11a5130540a
12527332280
132999a90a2
14173d08360
15d1e1c753
hex85b5d600

2243286528 has 320 divisors, whose sum is σ = 7332864000. Its totient is φ = 595206144.

The previous prime is 2243286517. The next prime is 2243286553. The reversal of 2243286528 is 8256823422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2243286528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16138683 + ... + 16138821.

It is an arithmetic number, because the mean of its divisors is an integer number (22915200).

Almost surely, 22243286528 is an apocalyptic number.

2243286528 is a gapful number since it is divisible by the number (28) 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 2243286528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666432000).

2243286528 is an abundant number, since it is smaller than the sum of its proper divisors (5089577472).

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

2243286528 is a wasteful number, since it uses less digits than its factorization.

2243286528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 2243286528 is about 47363.3458277601. The cubic root of 2243286528 is about 1309.0661191714.

The spelling of 2243286528 in words is "two billion, two hundred forty-three million, two hundred eighty-six thousand, five hundred twenty-eight".