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202334132 = 227211137219
BaseRepresentation
bin11000000111101…
…01111110110100
3112002201122020202
430003311332310
5403244143012
632024420032
75004545300
oct1403657664
9462648222
10202334132
11a42376a0
1257917618
1332bc3850
141cc2cd00
1512b6acc2
hexc0f5fb4

202334132 has 72 divisors (see below), whose sum is σ = 483971040. Its totient is φ = 72757440.

The previous prime is 202334129. The next prime is 202334137. The reversal of 202334132 is 231433202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202334137) 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, 24419 + ... + 31637.

It is an arithmetic number, because the mean of its divisors is an integer number (6721820).

Almost surely, 2202334132 is an apocalyptic number.

202334132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202334132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241985520).

202334132 is an abundant number, since it is smaller than the sum of its proper divisors (281636908).

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

202334132 is a wasteful number, since it uses less digits than its factorization.

202334132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 202334132 is about 14224.4202693818. The cubic root of 202334132 is about 587.0697687330.

Adding to 202334132 its reverse (231433202), we get a palindrome (433767334).

The spelling of 202334132 in words is "two hundred two million, three hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 7007 7219 14014 14438 28028 28876 50533 79409 93847 101066 158818 187694 202132 317636 353731 375388 555863 656929 707462 1032317 1111726 1313858 1414924 2064634 2223452 2627716 3891041 4129268 4598503 7226219 7782082 9197006 14452438 15564164 18394012 28904876 50583533 101167066 202334132