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198278144 = 210227853
BaseRepresentation
bin10111101000101…
…11110000000000
3111211002120110222
423310113300000
5401224400034
631401442212
74625223251
oct1364276000
9454076428
10198278144
11a1a17339
12564a0368
133210365c
141c494b28
151261912e
hexbd17c00

198278144 has 44 divisors (see below), whose sum is σ = 398575464. Its totient is φ = 98586624.

The previous prime is 198278083. The next prime is 198278159. The reversal of 198278144 is 441872891.

It is a junction number, because it is equal to n+sod(n) for n = 198278095 and 198278104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 232022 + ... + 232874.

Almost surely, 2198278144 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 198278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199287732).

198278144 is an abundant number, since it is smaller than the sum of its proper divisors (200297320).

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

198278144 is an equidigital number, since it uses as much as digits as its factorization.

198278144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1082 counting only the distinct ones).

The product of its digits is 129024, while the sum is 44.

The square root of 198278144 is about 14081.1272276050. The cubic root of 198278144 is about 583.1204624825.

The spelling of 198278144 in words is "one hundred ninety-eight million, two hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 227 256 454 512 853 908 1024 1706 1816 3412 3632 6824 7264 13648 14528 27296 29056 54592 58112 109184 116224 193631 218368 232448 387262 436736 774524 873472 1549048 3098096 6196192 12392384 24784768 49569536 99139072 198278144