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2298042252 = 2235111747269
BaseRepresentation
bin1000100011111001…
…0101011110001100
312221011011122100000
42020332111132030
514201244323002
61020011004300
7110643015432
oct21076253614
95834148300
102298042252
11a7a204180
12541739690
132a813b01c
1417b2bcd52
15d6b3661c
hex88f9578c

2298042252 has 288 divisors, whose sum is σ = 7132769280. Its totient is φ = 639083520.

The previous prime is 2298042221. The next prime is 2298042277. The reversal of 2298042252 is 2522408922.

2298042252 is a `hidden beast` number, since 229 + 8 + 0 + 422 + 5 + 2 = 666.

2298042252 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8542774 + ... + 8543042.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 22298042252 is an apocalyptic number.

2298042252 is a gapful number since it is divisible by the number (22) 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 2298042252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566384640).

2298042252 is an abundant number, since it is smaller than the sum of its proper divisors (4834727028).

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

2298042252 is a wasteful number, since it uses less digits than its factorization.

2298042252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2298042252 is about 47937.8999540030. The cubic root of 2298042252 is about 1319.6314880391.

The spelling of 2298042252 in words is "two billion, two hundred ninety-eight million, forty-two thousand, two hundred fifty-two".