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208852380 = 2232511313337
BaseRepresentation
bin11000111001011…
…01010110011100
3112112222210121100
430130231112130
5411431234010
632420233100
75114134032
oct1434552634
9475883540
10208852380
11a7989980
1259b3b790
13343666b9
141da48552
15135072c0
hexc72d59c

208852380 has 144 divisors (see below), whose sum is σ = 695376864. Its totient is φ = 50319360.

The previous prime is 208852339. The next prime is 208852381. The reversal of 208852380 is 83258802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208852381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619572 + ... + 619908.

It is an arithmetic number, because the mean of its divisors is an integer number (4829006).

Almost surely, 2208852380 is an apocalyptic number.

208852380 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 208852380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347688432).

208852380 is an abundant number, since it is smaller than the sum of its proper divisors (486524484).

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

208852380 is a wasteful number, since it uses less digits than its factorization.

208852380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 208852380 is about 14451.7258484930. The cubic root of 208852380 is about 593.3074607523.

The spelling of 208852380 in words is "two hundred eight million, eight hundred fifty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 313 330 337 396 495 626 660 674 939 990 1011 1252 1348 1565 1685 1878 1980 2022 2817 3033 3130 3370 3443 3707 3756 4044 4695 5055 5634 6066 6260 6740 6886 7414 9390 10110 10329 11121 11268 12132 13772 14085 14828 15165 17215 18535 18780 20220 20658 22242 28170 30330 30987 33363 34430 37070 41316 44484 51645 55605 56340 60660 61974 66726 68860 74140 103290 105481 111210 123948 133452 154935 166815 206580 210962 222420 309870 316443 333630 421924 527405 619740 632886 667260 949329 1054810 1160291 1265772 1582215 1898658 2109620 2320582 3164430 3480873 3797316 4641164 4746645 5801455 6328860 6961746 9493290 10442619 11602910 13923492 17404365 18986580 20885238 23205820 34808730 41770476 52213095 69617460 104426190 208852380