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198261616 = 24717313359
BaseRepresentation
bin10111101000100…
…11101101110000
3111211001201210211
423310103231300
5401223332431
631401233504
74625124130
oct1364235560
9454051724
10198261616
11a1a05983
1256492894
13320c8c87
141c48cac0
15126142b1
hexbd13b70

198261616 has 80 divisors (see below), whose sum is σ = 479969280. Its totient is φ = 77368320.

The previous prime is 198261611. The next prime is 198261617. The reversal of 198261616 is 616162891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198261611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57345 + ... + 60703.

It is an arithmetic number, because the mean of its divisors is an integer number (5999616).

Almost surely, 2198261616 is an apocalyptic number.

198261616 is a gapful number since it is divisible by the number (16) 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 198261616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239984640).

198261616 is an abundant number, since it is smaller than the sum of its proper divisors (281707664).

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

198261616 is a wasteful number, since it uses less digits than its factorization.

198261616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3416 counting only the distinct ones).

The product of its digits is 31104, while the sum is 40.

The square root of 198261616 is about 14080.5403305413. The cubic root of 198261616 is about 583.1042595153.

The spelling of 198261616 in words is "one hundred ninety-eight million, two hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 56 62 68 112 119 124 136 217 238 248 272 434 476 496 527 868 952 1054 1736 1904 2108 3359 3472 3689 4216 6718 7378 8432 13436 14756 23513 26872 29512 47026 53744 57103 59024 94052 104129 114206 188104 208258 228412 376208 399721 416516 456824 728903 799442 833032 913648 1457806 1598884 1666064 1770193 2915612 3197768 3540386 5831224 6395536 7080772 11662448 12391351 14161544 24782702 28323088 49565404 99130808 198261616