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2298887136 = 253372134177
BaseRepresentation
bin1000100100000110…
…0011101111100000
312221012202120022000
42021001203233200
514202003342021
61020041044000
7110653134600
oct21101435740
95835676260
102298887136
11a7a730a27
12541a86600
132a8375760
1417b45cc00
15d6c51b26
hex89063be0

2298887136 has 288 divisors, whose sum is σ = 8401790880. Its totient is φ = 606154752.

The previous prime is 2298887131. The next prime is 2298887141. The reversal of 2298887136 is 6317888922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2298887131) and next prime (2298887141).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2298887131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 548280 + ... + 552456.

It is an arithmetic number, because the mean of its divisors is an integer number (29172885).

Almost surely, 22298887136 is an apocalyptic number.

2298887136 is a gapful number since it is divisible by the number (26) 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 2298887136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200895440).

2298887136 is an abundant number, since it is smaller than the sum of its proper divisors (6102903744).

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

2298887136 is a wasteful number, since it uses less digits than its factorization.

2298887136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4202 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 2298887136 is about 47946.7114200755. The cubic root of 2298887136 is about 1319.7931907406.

The spelling of 2298887136 in words is "two billion, two hundred ninety-eight million, eight hundred eighty-seven thousand, one hundred thirty-six".