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198278088 = 23353971607
BaseRepresentation
bin10111101000101…
…11101111001000
3111211002120101220
423310113233020
5401224344323
631401442040
74625223141
oct1364275710
9454076356
10198278088
11a1a17298
12564a0320
1332103618
141c494ac8
15126190e3
hexbd17bc8

198278088 has 64 divisors (see below), whose sum is σ = 510572160. Its totient is φ = 64137216.

The previous prime is 198278083. The next prime is 198278159. The reversal of 198278088 is 880872891.

It is a happy number.

It is a super-3 number, since 3×1982780883 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 198278088.

It is not an unprimeable number, because it can be changed into a prime (198278083) 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, 122581 + ... + 124187.

It is an arithmetic number, because the mean of its divisors is an integer number (7977690).

Almost surely, 2198278088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198278088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255286080).

198278088 is an abundant number, since it is smaller than the sum of its proper divisors (312294072).

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

198278088 is a wasteful number, since it uses less digits than its factorization.

198278088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 51.

The square root of 198278088 is about 14081.1252391277. The cubic root of 198278088 is about 583.1204075853.

The spelling of 198278088 in words is "one hundred ninety-eight million, two hundred seventy-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 97 106 159 194 212 291 318 388 424 582 636 776 1164 1272 1607 2328 3214 4821 5141 6428 9642 10282 12856 15423 19284 20564 30846 38568 41128 61692 85171 123384 155879 170342 255513 311758 340684 467637 511026 623516 681368 935274 1022052 1247032 1870548 2044104 3741096 8261587 16523174 24784761 33046348 49569522 66092696 99139044 198278088