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2298397248 = 263371391367
BaseRepresentation
bin1000100011111110…
…1100001001000000
312221011211200022000
42020333230021000
514201342202443
61020022344000
7110646024420
oct21077541100
95834750260
102298397248
11a7a426964
1254188b000
132a8233794
1417b372480
15d6ba68d3
hex88fec240

2298397248 has 224 divisors, whose sum is σ = 7783372800. Its totient is φ = 651483648.

The previous prime is 2298397247. The next prime is 2298397267. The reversal of 2298397248 is 8427938922.

It is a happy number.

2298397248 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 397 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×22983972482 = 10565259819227947008, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 2298397194 and 2298397203.

It is not an unprimeable number, because it can be changed into a prime (2298397247) 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 31 ways as a sum of consecutive naturals, for example, 1680661 + ... + 1682027.

It is an arithmetic number, because the mean of its divisors is an integer number (34747200).

Almost surely, 22298397248 is an apocalyptic number.

2298397248 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 2298397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891686400).

2298397248 is an abundant number, since it is smaller than the sum of its proper divisors (5484975552).

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

2298397248 is a wasteful number, since it uses less digits than its factorization.

2298397248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1518 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2298397248 is about 47941.6024763462. The cubic root of 2298397248 is about 1319.6994356989.

The spelling of 2298397248 in words is "two billion, two hundred ninety-eight million, three hundred ninety-seven thousand, two hundred forty-eight".