Search a number
-
+
198965688 = 233173115731
BaseRepresentation
bin10111101101111…
…11100110111000
3111212101111121120
423312333212320
5401413400223
631424305240
74634115615
oct1366774670
9455344546
10198965688
11a2346959
1256772220
13322b459c
141c5d350c
1512702be3
hexbdbf9b8

198965688 has 64 divisors (see below), whose sum is σ = 543697920. Its totient is φ = 60403200.

The previous prime is 198965659. The next prime is 198965699. The reversal of 198965688 is 886569891.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4783 + ... + 20513.

It is an arithmetic number, because the mean of its divisors is an integer number (8495280).

Almost surely, 2198965688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198965688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271848960).

198965688 is an abundant number, since it is smaller than the sum of its proper divisors (344732232).

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

198965688 is a wasteful number, since it uses less digits than its factorization.

198965688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15788 (or 15784 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 60.

The square root of 198965688 is about 14105.5197706430. The cubic root of 198965688 is about 583.7936892440.

The spelling of 198965688 in words is "one hundred ninety-eight million, nine hundred sixty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1581 2108 3162 4216 6324 12648 15731 31462 47193 62924 94386 125848 188772 267427 377544 487661 534854 802281 975322 1069708 1462983 1604562 1950644 2139416 2925966 3209124 3901288 5851932 6418248 8290237 11703864 16580474 24870711 33160948 49741422 66321896 99482844 198965688