[go: up one dir, main page]

Search a number
-
+
2154221136 = 24337736451
BaseRepresentation
bin1000000001100110…
…1100111001010000
312120010112202212000
42000121230321100
513402440034021
6553432234000
7104245402044
oct20031547120
95503482760
102154221136
11a06002251
1250153b900
132843c3682
14166162024
15c91c7b26
hex8066ce50

2154221136 has 80 divisors (see below), whose sum is σ = 6192371520. Its totient is φ = 717033600.

The previous prime is 2154221131. The next prime is 2154221143. The reversal of 2154221136 is 6311224512.

2154221136 is a `hidden beast` number, since 2 + 1 + 542 + 2 + 113 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154221131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330711 + ... + 337161.

It is an arithmetic number, because the mean of its divisors is an integer number (77404644).

Almost surely, 22154221136 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 2154221136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096185760).

2154221136 is an abundant number, since it is smaller than the sum of its proper divisors (4038150384).

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

2154221136 is a wasteful number, since it uses less digits than its factorization.

2154221136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7241 (or 7229 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2154221136 is about 46413.5878380459. The cubic root of 2154221136 is about 1291.5069895119.

Adding to 2154221136 its reverse (6311224512), we get a palindrome (8465445648).

The spelling of 2154221136 in words is "two billion, one hundred fifty-four million, two hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 773 1546 2319 3092 4638 6184 6451 6957 9276 12368 12902 13914 18552 19353 20871 25804 27828 37104 38706 41742 51608 55656 58059 77412 83484 103216 111312 116118 154824 166968 174177 232236 309648 333936 348354 464472 696708 928944 1393416 2786832 4986623 9973246 14959869 19946492 29919738 39892984 44879607 59839476 79785968 89759214 119678952 134638821 179518428 239357904 269277642 359036856 538555284 718073712 1077110568 2154221136