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204220440 = 2334563031
BaseRepresentation
bin11000010110000…
…10100000011000
3112020021110210000
430023002200120
5404240023230
632133053000
75026562604
oct1413024030
9466243700
10204220440
11a5305926
1258487160
13334042c8
141d1a0504
1512ddeb60
hexc2c2818

204220440 has 80 divisors (see below), whose sum is σ = 686418480. Its totient is φ = 54457920.

The previous prime is 204220411. The next prime is 204220463. The reversal of 204220440 is 44022402.

204220440 is a `hidden beast` number, since 2 + 0 + 4 + 220 + 440 = 666.

It is a super-2 number, since 2×2042204402 = 83411976227587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28276 + ... + 34755.

It is an arithmetic number, because the mean of its divisors is an integer number (8580231).

Almost surely, 2204220440 is an apocalyptic number.

204220440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204220440 is an abundant number, since it is smaller than the sum of its proper divisors (482198040).

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

204220440 is a wasteful number, since it uses less digits than its factorization.

204220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63054 (or 63041 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 204220440 is about 14290.5717170448. The cubic root of 204220440 is about 588.8884943367. Note that the first 3 decimals are identical.

Adding to 204220440 its reverse (44022402), we get a palindrome (248242842).

The spelling of 204220440 in words is "two hundred four million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 63031 126062 189093 252124 315155 378186 504248 567279 630310 756372 945465 1134558 1260620 1512744 1701837 1890930 2269116 2521240 2836395 3403674 3781860 4538232 5105511 5672790 6807348 7563720 8509185 10211022 11345580 13614696 17018370 20422044 22691160 25527555 34036740 40844088 51055110 68073480 102110220 204220440