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208297530 = 232572149317
BaseRepresentation
bin11000110101001…
…01111000111010
3112111221121111100
430122211320322
5411311010110
632400312230
75106333300
oct1432457072
9474847440
10208297530
11a7640021
1259912676
1334200c9c
141d942270
1513447bc0
hexc6a5e3a

208297530 has 144 divisors (see below), whose sum is σ = 636222600. Its totient is φ = 47142144.

The previous prime is 208297519. The next prime is 208297541. The reversal of 208297530 is 35792802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (208297519) and next prime (208297541).

It can be written as a sum of positive squares in 4 ways, for example, as 69505569 + 138791961 = 8337^2 + 11781^2 .

It is a super-2 number, since 2×2082975302 = 86775722008201800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 656932 + ... + 657248.

Almost surely, 2208297530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208297530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318111300).

208297530 is an abundant number, since it is smaller than the sum of its proper divisors (427925070).

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

208297530 is a wasteful number, since it uses less digits than its factorization.

208297530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 208297530 is about 14432.5164126011. The cubic root of 208297530 is about 592.7815891663.

The spelling of 208297530 in words is "two hundred eight million, two hundred ninety-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 149 210 245 294 298 315 317 441 447 490 630 634 735 745 882 894 951 1043 1341 1470 1490 1585 1902 2086 2205 2219 2235 2682 2853 3129 3170 4410 4438 4470 4755 5215 5706 6258 6657 6705 7301 9387 9510 10430 11095 13314 13410 14265 14602 15533 15645 18774 19971 21903 22190 28530 31066 31290 33285 36505 39942 43806 46599 46935 47233 65709 66570 73010 77665 93198 93870 94466 99855 109515 131418 139797 141699 155330 199710 219030 232995 236165 279594 283398 328545 330631 425097 465990 472330 657090 661262 698985 708495 850194 991893 1397970 1416990 1653155 1983786 2125485 2314417 2975679 3306310 4250970 4628834 4959465 5951358 6943251 9918930 11572085 13886502 14878395 20829753 23144170 29756790 34716255 41659506 69432510 104148765 208297530