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198944640 = 2733529397
BaseRepresentation
bin10111101101110…
…10011110000000
3111212100102202000
423312322132000
5401412212030
631424024000
74634000346
oct1366723600
9455312660
10198944640
11a2332064
1256762000
13322a7b2b
141c5c9996
15126eb860
hexbdba780

198944640 has 256 divisors, whose sum is σ = 730728000. Its totient is φ = 51093504.

The previous prime is 198944633. The next prime is 198944677. The reversal of 198944640 is 46449891.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500922 + ... + 501318.

Almost surely, 2198944640 is an apocalyptic number.

198944640 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 198944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365364000).

198944640 is an abundant number, since it is smaller than the sum of its proper divisors (531783360).

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

198944640 is a wasteful number, since it uses less digits than its factorization.

198944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 198944640 is about 14104.7736600060. The cubic root of 198944640 is about 583.7731025740.

The spelling of 198944640 in words is "one hundred ninety-eight million, nine hundred forty-four thousand, six hundred forty".