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2275082496 = 28321951971
BaseRepresentation
bin1000011110011011…
…0000000100000000
312212112222011110200
42013212300010000
514124410114441
61013430525200
7110243611401
oct20746600400
95775864420
102275082496
11a68252175
12535b06800
132a345c67b
141782239a8
15d4aed7b6
hex879b0100

2275082496 has 108 divisors (see below), whose sum is σ = 6904999920. Its totient is φ = 718433280.

The previous prime is 2275082461. The next prime is 2275082507. The reversal of 2275082496 is 6942805722.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17791 + ... + 69761.

Almost surely, 22275082496 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 2275082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452499960).

2275082496 is an abundant number, since it is smaller than the sum of its proper divisors (4629917424).

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

2275082496 is a wasteful number, since it uses less digits than its factorization.

2275082496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52012 (or 51995 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2275082496 is about 47697.8248560665. The cubic root of 2275082496 is about 1315.2219542750.

The spelling of 2275082496 in words is "two billion, two hundred seventy-five million, eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 14592 21888 43776 51971 103942 155913 207884 311826 415768 467739 623652 831536 935478 987449 1247304 1663072 1870956 1974898 2494608 2962347 3326144 3741912 3949796 4989216 5924694 6652288 7483824 7899592 8887041 9978432 11849388 13304576 14967648 15799184 17774082 19956864 23698776 29935296 31598368 35548164 39913728 47397552 59870592 63196736 71096328 94795104 119741184 126393472 142192656 189590208 252786944 284385312 379180416 568770624 758360832 1137541248 2275082496