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198778944 = 26371331367
BaseRepresentation
bin10111101100100…
…10000001000000
3111212001000110010
423312102001000
5401341411234
631420304520
74632410310
oct1366220100
9455030403
10198778944
11a2229621
12566a2140
133224a5a0
141c585440
15126b76e9
hexbd92040

198778944 has 224 divisors, whose sum is σ = 670007296. Its totient is φ = 50595840.

The previous prime is 198778907. The next prime is 198778961. The reversal of 198778944 is 449877891.

It is a tau number, because it is divible by the number of its divisors (224).

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, 541449 + ... + 541815.

It is an arithmetic number, because the mean of its divisors is an integer number (2991104).

Almost surely, 2198778944 is an apocalyptic number.

198778944 is a gapful number since it is divisible by the number (14) 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 198778944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335003648).

198778944 is an abundant number, since it is smaller than the sum of its proper divisors (471228352).

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

198778944 is a wasteful number, since it uses less digits than its factorization.

198778944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 57.

The square root of 198778944 is about 14098.8986803934. The cubic root of 198778944 is about 583.6109875676.

The spelling of 198778944 in words is "one hundred ninety-eight million, seven hundred seventy-eight thousand, nine hundred forty-four".