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202322142 = 232113727617
BaseRepresentation
bin11000000111100…
…11000011011110
3112002201000210200
430003303003132
5403243302032
632024244330
75004465321
oct1403630336
9462630720
10202322142
11a4229690
12579106a6
1332bbb259
141cc287b8
1512b6747c
hexc0f30de

202322142 has 48 divisors (see below), whose sum is σ = 491158512. Its totient is φ = 59650560.

The previous prime is 202322137. The next prime is 202322143. The reversal of 202322142 is 241223202.

202322142 is a `hidden beast` number, since 202 + 322 + 142 = 666.

202322142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202322143) 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, 6483 + ... + 21134.

It is an arithmetic number, because the mean of its divisors is an integer number (10232469).

Almost surely, 2202322142 is an apocalyptic number.

202322142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

202322142 is an abundant number, since it is smaller than the sum of its proper divisors (288836370).

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

202322142 is a wasteful number, since it uses less digits than its factorization.

202322142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27673 (or 27670 counting only the distinct ones).

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

The square root of 202322142 is about 14223.9988048368. The cubic root of 202322142 is about 587.0581722292.

Adding to 202322142 its reverse (241223202), we get a palindrome (443545344).

The spelling of 202322142 in words is "two hundred two million, three hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 27617 55234 82851 165702 248553 303787 497106 607574 911361 1021829 1822722 2043658 2734083 3065487 5468166 6130974 9196461 11240119 18392922 22480238 33720357 67440714 101161071 202322142