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202143420 = 2232510111119
BaseRepresentation
bin11000000110001…
…11011010111100
3112002100221122100
430003013122330
5403222042140
632020345100
75003122263
oct1403073274
9462327570
10202143420
11a4117386
1257845190
1332b57abb
141cbbd5da
1512b2e530
hexc0c76bc

202143420 has 72 divisors (see below), whose sum is σ = 619295040. Its totient is φ = 53366400.

The previous prime is 202143419. The next prime is 202143421. The reversal of 202143420 is 24341202.

202143420 is a `hidden beast` number, since 202 + 1 + 43 + 420 = 666.

202143420 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202143419) and next prime (202143421).

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 = 202143393 and 202143402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202143421) 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, 12621 + ... + 23739.

It is an arithmetic number, because the mean of its divisors is an integer number (8601320).

Almost surely, 2202143420 is an apocalyptic number.

202143420 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 202143420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309647520).

202143420 is an abundant number, since it is smaller than the sum of its proper divisors (417151620).

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

202143420 is a wasteful number, since it uses less digits than its factorization.

202143420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11235 (or 11230 counting only the distinct ones).

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

The square root of 202143420 is about 14217.7150062871. The cubic root of 202143420 is about 586.8852613149.

Adding to 202143420 its reverse (24341202), we get a palindrome (226484622).

The spelling of 202143420 in words is "two hundred two million, one hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 11119 18180 22238 33357 44476 55595 66714 100071 111190 133428 166785 200142 222380 333570 400284 500355 667140 1000710 1123019 2001420 2246038 3369057 4492076 5615095 6738114 10107171 11230190 13476228 16845285 20214342 22460380 33690570 40428684 50535855 67381140 101071710 202143420