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202421124 = 22324323041
BaseRepresentation
bin11000001000010…
…11001110000100
3112002220001120200
430010023032010
5403304433444
632030330500
75005360023
oct1404131604
9462801520
10202421124
11a4296a94
1257959a30
1332c24319
141cc528ba
1512b86969
hexc10b384

202421124 has 54 divisors (see below), whose sum is σ = 524024046. Its totient is φ = 65882880.

The previous prime is 202421123. The next prime is 202421171. The reversal of 202421124 is 421124202.

It can be written as a sum of positive squares in only one way, i.e., 201356100 + 1065024 = 14190^2 + 1032^2 .

It is a super-2 number, since 2×2024211242 = 81948622882846752, which contains 22 as substring.

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 = 202421097 and 202421106.

It is not an unprimeable number, because it can be changed into a prime (202421123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65044 + ... + 68084.

It is an arithmetic number, because the mean of its divisors is an integer number (9704149).

Almost surely, 2202421124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202421124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262012023).

202421124 is an abundant number, since it is smaller than the sum of its proper divisors (321602922).

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

202421124 is a wasteful number, since it uses less digits than its factorization.

202421124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 202421124 is about 14227.4777806890. The cubic root of 202421124 is about 587.1538920516.

Adding to 202421124 its reverse (421124202), we get a palindrome (623545326).

The spelling of 202421124 in words is "two hundred two million, four hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 1849 3041 3698 5547 6082 7396 9123 11094 12164 16641 18246 22188 27369 33282 36492 54738 66564 109476 130763 261526 392289 523052 784578 1176867 1569156 2353734 4707468 5622809 11245618 16868427 22491236 33736854 50605281 67473708 101210562 202421124