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198214680 = 233515110939
BaseRepresentation
bin10111101000010…
…00010000011000
3111210222100102110
423310020100120
5401220332210
631400232320
74624540236
oct1364102030
9453870373
10198214680
11a1983694
125646b6a0
13320b07c1
141c479956
1512605420
hexbd08418

198214680 has 64 divisors (see below), whose sum is σ = 598636800. Its totient is φ = 52502400.

The previous prime is 198214657. The next prime is 198214699. The reversal of 198214680 is 86412891.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12651 + ... + 23589.

It is an arithmetic number, because the mean of its divisors is an integer number (9353700).

Almost surely, 2198214680 is an apocalyptic number.

198214680 is a gapful number since it is divisible by the number (10) 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 198214680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299318400).

198214680 is an abundant number, since it is smaller than the sum of its proper divisors (400422120).

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

198214680 is a wasteful number, since it uses less digits than its factorization.

198214680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11104 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 198214680 is about 14078.8735344842. The cubic root of 198214680 is about 583.0582416289.

The spelling of 198214680 in words is "one hundred ninety-eight million, two hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3624 4530 6040 9060 10939 18120 21878 32817 43756 54695 65634 87512 109390 131268 164085 218780 262536 328170 437560 656340 1312680 1651789 3303578 4955367 6607156 8258945 9910734 13214312 16517890 19821468 24776835 33035780 39642936 49553670 66071560 99107340 198214680