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202530816 = 213324167
BaseRepresentation
bin11000001001001…
…10000000000000
3112010002122001100
430010212000000
5403321441231
632032534400
75006324565
oct1404460000
9463078040
10202530816
11a4361444
12579b1400
1332c62227
141cc8086c
1512ba91e6
hexc126000

202530816 has 168 divisors, whose sum is σ = 608268024. Its totient is φ = 64880640.

The previous prime is 202530793. The next prime is 202530821. The reversal of 202530816 is 618035202.

It is a self number, because there is not a number n which added to its sum of digits gives 202530816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3022815 + ... + 3022881.

It is an arithmetic number, because the mean of its divisors is an integer number (3620643).

Almost surely, 2202530816 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 202530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304134012).

202530816 is an abundant number, since it is smaller than the sum of its proper divisors (405737208).

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

202530816 is an equidigital number, since it uses as much as digits as its factorization.

202530816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 202530816 is about 14231.3321934385. The cubic root of 202530816 is about 587.2599324573.

The spelling of 202530816 in words is "two hundred two million, five hundred thirty thousand, eight hundred sixteen".