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2153446830 = 233513758217
BaseRepresentation
bin1000000001011010…
…1111110110101110
312120002002102201000
42000112233312232
513402240244310
6553403501130
7104235665433
oct20026576656
95502072630
102153446830
11a05623527
125012277a6
132841b20c2
14165dddb8a
15c90c34c0
hex805afdae

2153446830 has 64 divisors (see below), whose sum is σ = 5784540480. Its totient is φ = 570051072.

The previous prime is 2153446819. The next prime is 2153446847. The reversal of 2153446830 is 386443512.

2153446830 is a `hidden beast` number, since 2 + 1 + 534 + 46 + 83 + 0 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7882 + ... + 66098.

It is an arithmetic number, because the mean of its divisors is an integer number (90383445).

Almost surely, 22153446830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153446830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892270240).

2153446830 is an abundant number, since it is smaller than the sum of its proper divisors (3631093650).

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

2153446830 is a wasteful number, since it uses less digits than its factorization.

2153446830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58370 (or 58364 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2153446830 is about 46405.2457164058. The cubic root of 2153446830 is about 1291.3522326591.

The spelling of 2153446830 in words is "two billion, one hundred fifty-three million, four hundred forty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 137 270 274 411 685 822 1233 1370 2055 2466 3699 4110 6165 7398 12330 18495 36990 58217 116434 174651 291085 349302 523953 582170 873255 1047906 1571859 1746510 2619765 3143718 5239530 7859295 7975729 15718590 15951458 23927187 39878645 47854374 71781561 79757290 119635935 143563122 215344683 239271870 358907805 430689366 717815610 1076723415 2153446830