Search a number
-
+
142302222 = 23237434969
BaseRepresentation
bin10000111101101…
…01110000001110
3100220202200221200
420132311300032
5242412132342
622042010330
73345356166
oct1036656016
9326680850
10142302222
1173364847
123b7a69a6
13236351ca
1414c835a6
15c75d94c
hex87b5c0e

142302222 has 48 divisors (see below), whose sum is σ = 324083760. Its totient is φ = 45069696.

The previous prime is 142302163. The next prime is 142302227. The reversal of 142302222 is 222203241.

142302222 is a `hidden beast` number, since 142 + 302 + 222 = 666.

142302222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1423022222 = 40499844772274568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142302195 and 142302204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142302227) 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, 26154 + ... + 31122.

It is an arithmetic number, because the mean of its divisors is an integer number (6751745).

Almost surely, 2142302222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142302222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162041880).

142302222 is an abundant number, since it is smaller than the sum of its proper divisors (181781538).

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

142302222 is a wasteful number, since it uses less digits than its factorization.

142302222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 142302222 is about 11929.0495011128. The cubic root of 142302222 is about 522.0802052299.

Adding to 142302222 its reverse (222203241), we get a palindrome (364505463).

The spelling of 142302222 in words is "one hundred forty-two million, three hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 43 74 86 111 129 222 258 333 387 666 774 1591 3182 4773 4969 9546 9938 14319 14907 28638 29814 44721 89442 183853 213667 367706 427334 551559 641001 1103118 1282002 1654677 1923003 3309354 3846006 7905679 15811358 23717037 47434074 71151111 142302222