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2155430844 = 223374169539
BaseRepresentation
bin1000000001111001…
…0100001110111100
312120012211020021000
42000132110032330
513403242241334
6553514210300
7104261600640
oct20036241674
95505736230
102155430844
11a06759106
12501a23990
13284728188
14166398c20
15c9366299
hex807943bc

2155430844 has 96 divisors (see below), whose sum is σ = 6542323200. Its totient is φ = 600808320.

The previous prime is 2155430843. The next prime is 2155430911. The reversal of 2155430844 is 4480345512.

It is a happy number.

2155430844 is a `hidden beast` number, since 21 + 554 + 3 + 0 + 84 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2155430799 and 2155430808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155430843) 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, 3774 + ... + 65765.

It is an arithmetic number, because the mean of its divisors is an integer number (68149200).

Almost surely, 22155430844 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 2155430844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271161600).

2155430844 is an abundant number, since it is smaller than the sum of its proper divisors (4386892356).

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

2155430844 is a wasteful number, since it uses less digits than its factorization.

2155430844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69600 (or 69592 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2155430844 is about 46426.6178393387. The cubic root of 2155430844 is about 1291.7486938811.

The spelling of 2155430844 in words is "two billion, one hundred fifty-five million, four hundred thirty thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 82 84 108 123 126 164 189 246 252 287 369 378 492 574 738 756 861 1107 1148 1476 1722 2214 2583 3444 4428 5166 7749 10332 15498 30996 69539 139078 208617 278156 417234 486773 625851 834468 973546 1251702 1460319 1877553 1947092 2503404 2851099 2920638 3755106 4380957 5702198 5841276 7510212 8553297 8761914 11404396 13142871 17106594 17523828 19957693 25659891 26285742 34213188 39915386 51319782 52571484 59873079 76979673 79830772 102639564 119746158 153959346 179619237 239492316 307918692 359238474 538857711 718476948 1077715422 2155430844