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2250131776 = 26316591721
BaseRepresentation
bin1000011000011110…
…0100100101000000
312210211000112111221
42012013210211000
514102013204101
61011140044424
7106521542644
oct20607444500
95724015457
102250131776
11a55160342
12529693714
1329b234a29
14174baac24
15d2820aa1
hex861e4940

2250131776 has 56 divisors (see below), whose sum is σ = 4618817280. Its totient is φ = 1086489600.

The previous prime is 2250131759. The next prime is 2250131789. The reversal of 2250131776 is 6771310522.

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 7 ways as a sum of consecutive naturals, for example, 1306596 + ... + 1308316.

It is an arithmetic number, because the mean of its divisors is an integer number (82478880).

Almost surely, 22250131776 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 2250131776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309408640).

2250131776 is an abundant number, since it is smaller than the sum of its proper divisors (2368685504).

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

2250131776 is a wasteful number, since it uses less digits than its factorization.

2250131776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 2250131776 is about 47435.5539231914. The cubic root of 2250131776 is about 1310.3962781471.

The spelling of 2250131776 in words is "two billion, two hundred fifty million, one hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 659 992 1318 1721 1984 2636 3442 5272 6884 10544 13768 20429 21088 27536 40858 42176 53351 55072 81716 106702 110144 163432 213404 326864 426808 653728 853616 1134139 1307456 1707232 2268278 3414464 4536556 9073112 18146224 35158309 36292448 70316618 72584896 140633236 281266472 562532944 1125065888 2250131776