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2289970248 = 2333112832399
BaseRepresentation
bin1000100001111110…
…0010110001001000
312220120222112121220
42020133202301020
514142213021443
61015122002040
7110514266046
oct21037426110
95816875556
102289970248
11a756a05a5
1253aaa6320
132a6572ba7
1417a1bb396
15d608ea83
hex887e2c48

2289970248 has 64 divisors (see below), whose sum is σ = 5916672000. Its totient is φ = 737816640.

The previous prime is 2289970223. The next prime is 2289970271. The reversal of 2289970248 is 8420799822.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2289970248.

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 15 ways as a sum of consecutive naturals, for example, 953353 + ... + 955751.

It is an arithmetic number, because the mean of its divisors is an integer number (92448000).

Almost surely, 22289970248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289970248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958336000).

2289970248 is an abundant number, since it is smaller than the sum of its proper divisors (3626701752).

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

2289970248 is a wasteful number, since it uses less digits than its factorization.

2289970248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 2289970248 is about 47853.6335924452. The cubic root of 2289970248 is about 1318.0845818936.

The spelling of 2289970248 in words is "two billion, two hundred eighty-nine million, nine hundred seventy thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1283 2399 2566 3849 4798 5132 7197 7698 9596 10264 14394 15396 19192 28788 30792 39773 57576 74369 79546 119319 148738 159092 223107 238638 297476 318184 446214 477276 594952 892428 954552 1784856 3077917 6155834 9233751 12311668 18467502 24623336 36935004 73870008 95415427 190830854 286246281 381661708 572492562 763323416 1144985124 2289970248