Search a number
-
+
2151350388 = 2233113315471
BaseRepresentation
bin1000000000111011…
…0000000001110100
312112221010220221000
42000032300001310
513401221203023
6553250523300
7104212114365
oct20016600164
95487126830
102151350388
11a04421430
12500596530
13283929ac5
14165a15b6c
15c8d0c243
hex803b0074

2151350388 has 96 divisors (see below), whose sum is σ = 6104125440. Its totient is φ = 649836000.

The previous prime is 2151350363. The next prime is 2151350389. The reversal of 2151350388 is 8830531512.

2151350388 is a `hidden beast` number, since 21 + 51 + 3 + 503 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151350389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390493 + ... + 395963.

It is an arithmetic number, because the mean of its divisors is an integer number (63584640).

Almost surely, 22151350388 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 2151350388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052062720).

2151350388 is an abundant number, since it is smaller than the sum of its proper divisors (3952775052).

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

2151350388 is a wasteful number, since it uses less digits than its factorization.

2151350388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5826 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2151350388 is about 46382.6517999995. The cubic root of 2151350388 is about 1290.9330405029.

The spelling of 2151350388 in words is "two billion, one hundred fifty-one million, three hundred fifty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 331 396 594 662 993 1188 1324 1986 2979 3641 3972 5471 5958 7282 8937 10923 10942 11916 14564 16413 17874 21846 21884 32769 32826 35748 43692 49239 60181 65538 65652 98307 98478 120362 131076 147717 180543 196614 196956 240724 295434 361086 393228 541629 590868 722172 1083258 1624887 1810901 2166516 3249774 3621802 5432703 6499548 7243604 10865406 16298109 19919911 21730812 32596218 39839822 48894327 59759733 65192436 79679644 97788654 119519466 179279199 195577308 239038932 358558398 537837597 717116796 1075675194 2151350388