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198456966 = 2341073
BaseRepresentation
bin10111101010000…
…11011010000110
3111211102122210000
423311003122012
5401301110331
631405342130
74626566511
oct1365033206
9454378700
10198456966
11a2029724
1256567946
1332166b76
141c4ddd78
15126520e6
hexbd43686

198456966 has 40 divisors (see below), whose sum is σ = 448885800. Its totient is φ = 65534076.

The previous prime is 198456913. The next prime is 198456977. The reversal of 198456966 is 669654891.

It is a happy number.

198456966 is a `hidden beast` number, since 19 + 8 + 4 + 569 + 66 = 666.

198456966 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1854685 + ... + 1854791.

It is an arithmetic number, because the mean of its divisors is an integer number (11222145).

Almost surely, 2198456966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198456966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224442900).

198456966 is an abundant number, since it is smaller than the sum of its proper divisors (250428834).

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

198456966 is an frugal number, since it uses more digits than its factorization.

198456966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 112 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 198456966 is about 14087.4755013097. The cubic root of 198456966 is about 583.2957102991.

The spelling of 198456966 in words is "one hundred ninety-eight million, four hundred fifty-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 642 963 1926 2889 5778 8667 11449 17334 22898 34347 68694 103041 206082 309123 618246 927369 1225043 1854738 2450086 3675129 7350258 11025387 22050774 33076161 66152322 99228483 198456966