Search a number
-
+
2552190810 = 23513371371291
BaseRepresentation
bin1001100000011111…
…0101011101011010
320120212101201121120
42120013311131122
520211330101220
61101130150110
7120150156351
oct23007653532
96525351546
102552190810
11109a710804
125b2882336
133189a3aa0
141a2d58998
15ee0d9a40
hex981f575a

2552190810 has 128 divisors (see below), whose sum is σ = 6829449984. Its totient is φ = 606320640.

The previous prime is 2552190803. The next prime is 2552190829. The reversal of 2552190810 is 180912552.

It is a super-2 number, since 2×25521908102 = 13027355861296912200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1976265 + ... + 1977555.

It is an arithmetic number, because the mean of its divisors is an integer number (53355078).

Almost surely, 22552190810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552190810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414724992).

2552190810 is an abundant number, since it is smaller than the sum of its proper divisors (4277259174).

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

2552190810 is a wasteful number, since it uses less digits than its factorization.

2552190810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488.

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 2552190810 is about 50519.2122860205. The cubic root of 2552190810 is about 1366.5883481460.

The spelling of 2552190810 in words is "two billion, five hundred fifty-two million, one hundred ninety thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 137 185 195 222 274 370 390 411 481 555 685 822 962 1110 1291 1370 1443 1781 2055 2405 2582 2886 3562 3873 4110 4810 5069 5343 6455 7215 7746 8905 10138 10686 12910 14430 15207 16783 17810 19365 25345 26715 30414 33566 38730 47767 50349 50690 53430 65897 76035 83915 95534 100698 131794 143301 152070 167830 176867 197691 238835 251745 286602 329485 353734 395382 477670 503490 530601 620971 658970 716505 884335 988455 1061202 1241942 1433010 1768670 1862913 1976910 2299271 2653005 3104855 3725826 4598542 5306010 6209710 6544079 6897813 9314565 11496355 13088158 13795626 18629130 19632237 22992710 32720395 34489065 39264474 65440790 68978130 85073027 98161185 170146054 196322370 255219081 425365135 510438162 850730270 1276095405 2552190810