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142254216 = 233213192421
BaseRepresentation
bin10000111101010…
…10000010001000
3100220200021002200
420132222002020
5242404113331
622041000200
73345066216
oct1036520210
9326607080
10142254216
1173331775
123b783060
13236193c0
1414c6dcb6
15c74e5e6
hex87aa088

142254216 has 144 divisors (see below), whose sum is σ = 438934860. Its totient is φ = 41368320.

The previous prime is 142254187. The next prime is 142254221. The reversal of 142254216 is 612452241.

142254216 is a `hidden beast` number, since 14 + 225 + 421 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102941316 + 39312900 = 10146^2 + 6270^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 142254216.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 337686 + ... + 338106.

Almost surely, 2142254216 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 142254216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219467430).

142254216 is an abundant number, since it is smaller than the sum of its proper divisors (296680644).

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

142254216 is a wasteful number, since it uses less digits than its factorization.

142254216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 458 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 142254216 is about 11927.0371844813. The cubic root of 142254216 is about 522.0214902854.

The spelling of 142254216 in words is "one hundred forty-two million, two hundred fifty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 361 421 456 468 494 684 722 741 842 936 988 1083 1263 1368 1444 1482 1684 1976 2166 2223 2526 2888 2964 3249 3368 3789 4332 4446 4693 5052 5473 5928 6498 7578 7999 8664 8892 9386 10104 10946 12996 14079 15156 15998 16419 17784 18772 21892 23997 25992 28158 30312 31996 32838 37544 42237 43784 47994 49257 56316 63992 65676 71991 84474 95988 98514 103987 112632 131352 143982 151981 168948 191976 197028 207974 287964 303962 311961 337896 394056 415948 455943 575928 607924 623922 831896 911886 935883 1215848 1247844 1367829 1823772 1871766 1975753 2495688 2735658 3647544 3743532 3951506 5471316 5927259 7487064 7903012 10942632 11854518 15806024 17781777 23709036 35563554 47418072 71127108 142254216