Search a number
-
+
2145017352 = 2332371229239
BaseRepresentation
bin111111111011010…
…0101111000001000
312112111020011122010
41333312211320020
513343111023402
6552503055520
7104104226622
oct17766457010
95474204563
102145017352
11a00896315
124ba4415a0
1328252034a
14164c47c12
15c84aaa6c
hex7fda5e08

2145017352 has 128 divisors (see below), whose sum is σ = 5723136000. Its totient is φ = 668532480.

The previous prime is 2145017309. The next prime is 2145017383. The reversal of 2145017352 is 2537105412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8974849 + ... + 8975087.

It is an arithmetic number, because the mean of its divisors is an integer number (44712000).

Almost surely, 22145017352 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 2145017352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861568000).

2145017352 is an abundant number, since it is smaller than the sum of its proper divisors (3578118648).

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

2145017352 is a wasteful number, since it uses less digits than its factorization.

2145017352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 2145017352 is about 46314.3320366385. The cubic root of 2145017352 is about 1289.6650677849.

The spelling of 2145017352 in words is "two billion, one hundred forty-five million, seventeen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 71 92 138 142 184 213 229 239 276 284 426 458 478 552 568 687 717 852 916 956 1374 1434 1633 1704 1832 1912 2748 2868 3266 4899 5267 5496 5497 5736 6532 9798 10534 10994 13064 15801 16259 16491 16969 19596 21068 21988 31602 32518 32982 33938 39192 42136 43976 48777 50907 54731 63204 65036 65964 67876 97554 101814 109462 126408 130072 131928 135752 164193 195108 203628 218924 328386 373957 390216 390287 407256 437848 656772 747914 780574 1121871 1170861 1258813 1313544 1495828 1561148 2243742 2341722 2517626 2991656 3122296 3776439 3885901 4487484 4683444 5035252 7552878 7771802 8974968 9366888 10070504 11657703 15105756 15543604 23315406 30211512 31087208 46630812 89375723 93261624 178751446 268127169 357502892 536254338 715005784 1072508676 2145017352