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2154550032 = 243273972113
BaseRepresentation
bin1000000001101011…
…1101001100010000
312120011011111000100
42000122331030100
513403031100112
6553443252400
7104251241655
oct20032751420
95504144010
102154550032
11a06207368
1250167a100
132844aa29b
14166209c2c
15c92402dc
hex806bd310

2154550032 has 120 divisors (see below), whose sum is σ = 6178283384. Its totient is φ = 700710912.

The previous prime is 2154550019. The next prime is 2154550037. The reversal of 2154550032 is 2300554512.

It is a happy number.

2154550032 is a `hidden beast` number, since 2 + 154 + 5 + 500 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 2153331216 = 1104^2 + 46404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2154549978 and 2154550005.

It is not an unprimeable number, because it can be changed into a prime (2154550037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018608 + ... + 1020720.

Almost surely, 22154550032 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 2154550032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089141692).

2154550032 is an abundant number, since it is smaller than the sum of its proper divisors (4023733352).

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

2154550032 is a wasteful number, since it uses less digits than its factorization.

2154550032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2154550032 is about 46417.1308031852. The cubic root of 2154550032 is about 1291.5727131680.

The spelling of 2154550032 in words is "two billion, one hundred fifty-four million, five hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 97 144 146 194 219 291 292 388 438 582 584 657 776 873 876 1164 1168 1314 1552 1746 1752 2113 2328 2628 3492 3504 4226 4656 5256 6339 6984 7081 8452 10512 12678 13968 14162 16904 19017 21243 25356 28324 33808 38034 42486 50712 56648 63729 76068 84972 101424 113296 127458 152136 154249 169944 204961 254916 304272 308498 339888 409922 462747 509832 614883 616996 819844 925494 1019664 1229766 1233992 1388241 1639688 1844649 1850988 2459532 2467984 2776482 3279376 3689298 3701976 4919064 5552964 7378596 7403952 9838128 11105928 14757192 14962153 22211856 29514384 29924306 44886459 59848612 89772918 119697224 134659377 179545836 239394448 269318754 359091672 538637508 718183344 1077275016 2154550032