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198772992 = 28321122331
BaseRepresentation
bin10111101100100…
…00100100000000
3111212000201021200
423312100210000
5401341213432
631420221200
74632354045
oct1366204400
9455021250
10198772992
11a2225100
125669a800
1332247972
141c5831cc
15126b5a7c
hexbd90900

198772992 has 324 divisors, whose sum is σ = 678542592. Its totient is φ = 55756800.

The previous prime is 198772957. The next prime is 198772997. The reversal of 198772992 is 299277891.

Its product of digits (1143072) is a multiple of the sum of its prime factors (98).

It is not an unprimeable number, because it can be changed into a prime (198772997) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6412017 + ... + 6412047.

Almost surely, 2198772992 is an apocalyptic number.

198772992 is a gapful number since it is divisible by the number (12) 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 198772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339271296).

198772992 is an abundant number, since it is smaller than the sum of its proper divisors (479769600).

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

198772992 is a wasteful number, since it uses less digits than its factorization.

198772992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 198772992 is about 14098.6875984965. The cubic root of 198772992 is about 583.6051625253.

The spelling of 198772992 in words is "one hundred ninety-eight million, seven hundred seventy-two thousand, nine hundred ninety-two".