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203212220 = 225171983379
BaseRepresentation
bin11000001110011…
…00010110111100
3112011101020202112
430013030112330
5404010242340
632055313152
75015163311
oct1407142674
9464336675
10203212220
11a4787392
125807b7b8
1333140423
141cdbad08
1512c91065
hexc1cc5bc

203212220 has 96 divisors (see below), whose sum is σ = 482630400. Its totient is φ = 71414784.

The previous prime is 203212211. The next prime is 203212241. The reversal of 203212220 is 22212302.

203212220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 203212195 and 203212204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535991 + ... + 536369.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2203212220 is an apocalyptic number.

203212220 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 203212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

203212220 is an abundant number, since it is smaller than the sum of its proper divisors (279418180).

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

203212220 is a wasteful number, since it uses less digits than its factorization.

203212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 203212220 is about 14255.2523653564. The cubic root of 203212220 is about 587.9177966747.

Adding to 203212220 its reverse (22212302), we get a palindrome (225424522).

The spelling of 203212220 in words is "two hundred three million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 83 85 95 166 170 190 323 332 340 379 380 415 646 758 830 1292 1411 1516 1577 1615 1660 1895 2822 3154 3230 3790 5644 6308 6443 6460 7055 7201 7580 7885 12886 14110 14402 15770 25772 26809 28220 28804 31457 31540 32215 36005 53618 62914 64430 72010 107236 122417 125828 128860 134045 144020 157285 244834 268090 314570 489668 534769 536180 597683 612085 629140 1069538 1195366 1224170 2139076 2390732 2448340 2673845 2988415 5347690 5976830 10160611 10695380 11953660 20321222 40642444 50803055 101606110 203212220