Search a number
-
+
198163656 = 233231471889
BaseRepresentation
bin10111100111110…
…11110011001000
3111210212202102200
423303323303020
5401212214111
631355200200
74624235415
oct1363736310
9453782380
10198163656
11a1949319
1256446060
1332093502
141c46510c
15125e5256
hexbcfbcc8

198163656 has 96 divisors (see below), whose sum is σ = 566092800. Its totient is φ = 62530560.

The previous prime is 198163649. The next prime is 198163681. The reversal of 198163656 is 656361891.

198163656 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 636 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103960 + ... + 105848.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2198163656 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 198163656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

198163656 is an abundant number, since it is smaller than the sum of its proper divisors (367929144).

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

198163656 is a wasteful number, since it uses less digits than its factorization.

198163656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1972 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 198163656 is about 14077.0613410612. The cubic root of 198163656 is about 583.0082074659.

The spelling of 198163656 in words is "one hundred ninety-eight million, one hundred sixty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 47 62 72 93 94 124 141 186 188 248 279 282 372 376 423 558 564 744 846 1116 1128 1457 1692 1889 2232 2914 3384 3778 4371 5667 5828 7556 8742 11334 11656 13113 15112 17001 17484 22668 26226 34002 34968 45336 52452 58559 68004 88783 104904 117118 136008 175677 177566 234236 266349 351354 355132 468472 527031 532698 702708 710264 799047 1054062 1065396 1405416 1598094 2108124 2130792 2752273 3196188 4216248 5504546 6392376 8256819 11009092 16513638 22018184 24770457 33027276 49540914 66054552 99081828 198163656