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200225454 = 231113229619
BaseRepresentation
bin10111110111100…
…11001010101110
3111221202111200120
423323303022232
5402224203304
631511305410
74650613452
oct1373631256
9457674616
10200225454
11a3027390
125707b266
1332635b00
141c840662
15128a10d9
hexbef32ae

200225454 has 96 divisors (see below), whose sum is σ = 490147200. Its totient is φ = 53988480.

The previous prime is 200225453. The next prime is 200225471. The reversal of 200225454 is 454522002.

It is a happy number.

It is a super-2 number, since 2×2002254542 = 80180464859012232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200225453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323157 + ... + 323775.

It is an arithmetic number, because the mean of its divisors is an integer number (5105700).

Almost surely, 2200225454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200225454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245073600).

200225454 is an abundant number, since it is smaller than the sum of its proper divisors (289921746).

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

200225454 is a wasteful number, since it uses less digits than its factorization.

200225454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 200225454 is about 14150.1043812404. The cubic root of 200225454 is about 585.0232089558.

Adding to 200225454 its reverse (454522002), we get a palindrome (654747456).

The spelling of 200225454 in words is "two hundred million, two hundred twenty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 143 169 174 286 319 338 377 429 507 619 638 754 858 957 1014 1131 1238 1857 1859 1914 2262 3714 3718 4147 4901 5577 6809 8047 8294 9802 11154 12441 13618 14703 16094 17951 20427 24141 24882 29406 35902 40854 48282 53853 53911 88517 104611 107706 107822 161733 177034 197461 209222 233363 265551 313833 323466 394922 466726 531102 592383 627666 700089 1150721 1184766 1400178 2301442 2566993 3033719 3452163 5133986 6067438 6904326 7700979 9101157 15401958 18202314 33370909 66741818 100112727 200225454