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208941330 = 235134173179
BaseRepresentation
bin11000111010000…
…11000100010010
3112120011022121210
430131003010102
5411442110310
632422200550
75114654253
oct1435030422
9476138553
10208941330
11a7a3a794
1259b83156
1334398030
141da6cb2a
1513523820
hexc743112

208941330 has 128 divisors (see below), whose sum is σ = 563915520. Its totient is φ = 49213440.

The previous prime is 208941329. The next prime is 208941379. The reversal of 208941330 is 33149802.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1167181 + ... + 1167359.

It is an arithmetic number, because the mean of its divisors is an integer number (4405590).

Almost surely, 2208941330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208941330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281957760).

208941330 is an abundant number, since it is smaller than the sum of its proper divisors (354974190).

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

208941330 is a wasteful number, since it uses less digits than its factorization.

208941330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 208941330 is about 14454.8030079970. The cubic root of 208941330 is about 593.3916784634.

The spelling of 208941330 in words is "two hundred eight million, nine hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 73 78 82 123 130 146 179 195 205 219 246 358 365 390 410 438 533 537 615 730 895 949 1066 1074 1095 1230 1599 1790 1898 2190 2327 2665 2685 2847 2993 3198 4654 4745 5330 5370 5694 5986 6981 7339 7995 8979 9490 11635 13067 13962 14235 14678 14965 15990 17958 22017 23270 26134 28470 29930 34905 36695 38909 39201 44034 44895 65335 69810 73390 77818 78402 89790 95407 110085 116727 130670 169871 190814 194545 196005 220170 233454 286221 339742 389090 392010 477035 509613 535747 572442 583635 849355 954070 1019226 1071494 1167270 1431105 1607241 1698710 2548065 2678735 2862210 3214482 5096130 5357470 6964711 8036205 13929422 16072410 20894133 34823555 41788266 69647110 104470665 208941330