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202323420 = 22345132739
BaseRepresentation
bin11000000111100…
…11010111011100
3112002201002120000
430003303113130
5403243322140
632024254300
75004502125
oct1403632734
9462632500
10202323420
11a422a642
1257911390
1332bbba00
141cc2904c
1512b67a30
hexc0f35dc

202323420 has 180 divisors, whose sum is σ = 688204440. Its totient is φ = 49735296.

The previous prime is 202323413. The next prime is 202323427. The reversal of 202323420 is 24323202.

It is an interprime number because it is at equal distance from previous prime (202323413) and next prime (202323427).

It is a tau number, because it is divible by the number of its divisors (180).

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 = 202323393 and 202323402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202323427) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 273411 + ... + 274149.

It is an arithmetic number, because the mean of its divisors is an integer number (3823358).

Almost surely, 2202323420 is an apocalyptic number.

202323420 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 202323420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344102220).

202323420 is an abundant number, since it is smaller than the sum of its proper divisors (485881020).

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

202323420 is a wasteful number, since it uses less digits than its factorization.

202323420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 202323420 is about 14224.0437288417. The cubic root of 202323420 is about 587.0594083087.

Adding to 202323420 its reverse (24323202), we get a palindrome (226646622).

The spelling of 202323420 in words is "two hundred two million, three hundred twenty-three thousand, four hundred twenty".