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202063820 = 22578916217
BaseRepresentation
bin11000000101100…
…11111111001100
3112002012220110012
430002303333030
5403212020240
632014532352
75002341230
oct1402637714
9462186405
10202063820
11a40725a2
12578070b8
1332b2a7ba
141cb9c5c0
1512b15b65
hexc0b3fcc

202063820 has 48 divisors (see below), whose sum is σ = 490432320. Its totient is φ = 68496384.

The previous prime is 202063789. The next prime is 202063831. The reversal of 202063820 is 28360202.

202063820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4352 + ... + 20568.

It is an arithmetic number, because the mean of its divisors is an integer number (10217340).

Almost surely, 2202063820 is an apocalyptic number.

202063820 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 202063820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245216160).

202063820 is an abundant number, since it is smaller than the sum of its proper divisors (288368500).

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

202063820 is a wasteful number, since it uses less digits than its factorization.

202063820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16322 (or 16320 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 202063820 is about 14214.9154060093. The cubic root of 202063820 is about 586.8082166765.

The spelling of 202063820 in words is "two hundred two million, sixty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 1246 1780 2492 3115 6230 12460 16217 32434 64868 81085 113519 162170 227038 324340 454076 567595 1135190 1443313 2270380 2886626 5773252 7216565 10103191 14433130 20206382 28866260 40412764 50515955 101031910 202063820