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198231480 = 233252389269
BaseRepresentation
bin10111101000011…
…00010110111000
3111211000012110200
423310030112320
5401221401410
631400442200
74624640226
oct1364142670
9454005420
10198231480
11a1995277
1256479360
13320b8345
141c481b16
151260a3c0
hexbd0c5b8

198231480 has 192 divisors, whose sum is σ = 682344000. Its totient is φ = 49809408.

The previous prime is 198231479. The next prime is 198231487. The reversal of 198231480 is 84132891.

198231480 = T171 + T172 + ... + T1060.

198231480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198231487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736786 + ... + 737054.

It is an arithmetic number, because the mean of its divisors is an integer number (3553875).

Almost surely, 2198231480 is an apocalyptic number.

198231480 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 198231480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341172000).

198231480 is an abundant number, since it is smaller than the sum of its proper divisors (484112520).

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

198231480 is a wasteful number, since it uses less digits than its factorization.

198231480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 198231480 is about 14079.4701604854. The cubic root of 198231480 is about 583.0747138393.

The spelling of 198231480 in words is "one hundred ninety-eight million, two hundred thirty-one thousand, four hundred eighty".