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202334420 = 22519709751
BaseRepresentation
bin11000000111101…
…10000011010100
3112002201122122102
430003312003110
5403244200140
632024421232
75004546161
oct1403660324
9462648572
10202334420
11a4237932
1257917818
1332bc3a12
141cc2d068
1512b6ae15
hexc0f60d4

202334420 has 48 divisors (see below), whose sum is σ = 448492800. Its totient is φ = 76464000.

The previous prime is 202334417. The next prime is 202334437. The reversal of 202334420 is 24433202.

202334420 = 18562 + 18572 + ... + 19122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202334392 and 202334401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269045 + ... + 269795.

It is an arithmetic number, because the mean of its divisors is an integer number (9343600).

Almost surely, 2202334420 is an apocalyptic number.

202334420 is a gapful number since it is divisible by the number (20) 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 202334420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224246400).

202334420 is an abundant number, since it is smaller than the sum of its proper divisors (246158380).

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

202334420 is a wasteful number, since it uses less digits than its factorization.

202334420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 202334420 is about 14224.4303928136. The cubic root of 202334420 is about 587.0700472756.

Adding to 202334420 its reverse (24433202), we get a palindrome (226767622).

The spelling of 202334420 in words is "two hundred two million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 709 751 1418 1502 2836 3004 3545 3755 7090 7510 13471 14180 14269 15020 26942 28538 53884 57076 67355 71345 134710 142690 269420 285380 532459 1064918 2129836 2662295 5324590 10116721 10649180 20233442 40466884 50583605 101167210 202334420