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200226528 = 25323372063
BaseRepresentation
bin10111110111100…
…11011011100000
3111221202120011100
423323303123200
5402224222103
631511314400
74650616545
oct1373633340
9457676140
10200226528
11a3028177
125707ba00
1332636448
141c840bcc
15128a15a3
hexbef36e0

200226528 has 72 divisors (see below), whose sum is σ = 571360608. Its totient is φ = 66511872.

The previous prime is 200226497. The next prime is 200226539. The reversal of 200226528 is 825622002.

200226528 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 2 + 652 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96025 + ... + 98087.

It is an arithmetic number, because the mean of its divisors is an integer number (7935564).

Almost surely, 2200226528 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 200226528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285680304).

200226528 is an abundant number, since it is smaller than the sum of its proper divisors (371134080).

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

200226528 is a wasteful number, since it uses less digits than its factorization.

200226528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 200226528 is about 14150.1423314396. The cubic root of 200226528 is about 585.0242549663.

The spelling of 200226528 in words is "two hundred million, two hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 337 674 1011 1348 2022 2063 2696 3033 4044 4126 5392 6066 6189 8088 8252 10784 12132 12378 16176 16504 18567 24264 24756 32352 33008 37134 48528 49512 66016 74268 97056 99024 148536 198048 297072 594144 695231 1390462 2085693 2780924 4171386 5561848 6257079 8342772 11123696 12514158 16685544 22247392 25028316 33371088 50056632 66742176 100113264 200226528