Search a number
-
+
202122342 = 232193715973
BaseRepresentation
bin11000000110000…
…10010001100110
3112002022212201200
430003002101212
5403220403332
632020103330
75003003652
oct1403022146
9462285650
10202122342
11a4102564
1257834b46
1332b4b326
141cbb5a62
1512b2817c
hexc0c2466

202122342 has 48 divisors (see below), whose sum is σ = 473469360. Its totient is φ = 62099136.

The previous prime is 202122331. The next prime is 202122391. The reversal of 202122342 is 243221202.

202122342 is a `hidden beast` number, since 202 + 122 + 342 = 666.

It is a super-2 number, since 2×2021223422 = 81706882271129928, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4668 + ... + 20640.

It is an arithmetic number, because the mean of its divisors is an integer number (9863945).

Almost surely, 2202122342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202122342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236734680).

202122342 is an abundant number, since it is smaller than the sum of its proper divisors (271347018).

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

202122342 is a wasteful number, since it uses less digits than its factorization.

202122342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16037 (or 16034 counting only the distinct ones).

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

The square root of 202122342 is about 14216.9737286105. The cubic root of 202122342 is about 586.8648619411.

Adding to 202122342 its reverse (243221202), we get a palindrome (445343544).

The spelling of 202122342 in words is "two hundred two million, one hundred twenty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 1406 2109 4218 6327 12654 15973 31946 47919 95838 143757 287514 303487 591001 606974 910461 1182002 1773003 1820922 2731383 3546006 5319009 5462766 10638018 11229019 22458038 33687057 67374114 101061171 202122342