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2298157056 = 211331323139
BaseRepresentation
bin1000100011111011…
…0001100000000000
312221011101110211000
42020332301200000
514201312011211
61020013252000
7110644004226
oct21076614000
95834343730
102298157056
11a7a282458
12541794000
132a817b360
1417b30cb16
15d6b5a656
hex88fb1800

2298157056 has 384 divisors, whose sum is σ = 7705152000. Its totient is φ = 671514624.

The previous prime is 2298157003. The next prime is 2298157091. The reversal of 2298157056 is 6507518922.

2298157056 is a `hidden beast` number, since 2 + 29 + 8 + 1 + 570 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16533435 + ... + 16533573.

It is an arithmetic number, because the mean of its divisors is an integer number (20065500).

Almost surely, 22298157056 is an apocalyptic number.

2298157056 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 2298157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576000).

2298157056 is an abundant number, since it is smaller than the sum of its proper divisors (5406994944).

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

2298157056 is a wasteful number, since it uses less digits than its factorization.

2298157056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2298157056 is about 47939.0973632170. The cubic root of 2298157056 is about 1319.6534627512.

The spelling of 2298157056 in words is "two billion, two hundred ninety-eight million, one hundred fifty-seven thousand, fifty-six".