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204222520 = 23523474723
BaseRepresentation
bin11000010110000…
…11000000111000
3112020021120122001
430023003000320
5404240110040
632133110344
75026601635
oct1413030070
9466246561
10204222520
11a5307447
12584883b4
1333405238
141d1a118c
1512de059a
hexc2c3038

204222520 has 64 divisors (see below), whose sum is σ = 489784320. Its totient is φ = 76458624.

The previous prime is 204222511. The next prime is 204222533. The reversal of 204222520 is 25222402.

204222520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 40879 + ... + 45601.

It is an arithmetic number, because the mean of its divisors is an integer number (7652880).

Almost surely, 2204222520 is an apocalyptic number.

204222520 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 204222520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244892160).

204222520 is an abundant number, since it is smaller than the sum of its proper divisors (285561800).

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

204222520 is a wasteful number, since it uses less digits than its factorization.

204222520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 204222520 is about 14290.6444921144. The cubic root of 204222520 is about 588.8904936206.

Adding to 204222520 its reverse (25222402), we get a palindrome (229444922).

The spelling of 204222520 in words is "two hundred four million, two hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 47 92 94 115 184 188 230 235 376 460 470 920 940 1081 1880 2162 4324 4723 5405 8648 9446 10810 18892 21620 23615 37784 43240 47230 94460 108629 188920 217258 221981 434516 443962 543145 869032 887924 1086290 1109905 1775848 2172580 2219810 4345160 4439620 5105563 8879240 10211126 20422252 25527815 40844504 51055630 102111260 204222520