Search a number
-
+
197777664 = 2832712263
BaseRepresentation
bin10111100100111…
…01100100000000
3111210011010221200
423302131210000
5401112341124
631343021200
74621040160
oct1362354400
9453133850
10197777664
11a1705317
125629a800
1331c89906
141c3a45a0
151256abc9
hexbc9d900

197777664 has 108 divisors (see below), whose sum is σ = 651758016. Its totient is φ = 56503296.

The previous prime is 197777653. The next prime is 197777687. The reversal of 197777664 is 466777791.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 197777664.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9997 + ... + 22259.

Almost surely, 2197777664 is an apocalyptic number.

197777664 is a gapful number since it is divisible by the number (14) 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 197777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325879008).

197777664 is an abundant number, since it is smaller than the sum of its proper divisors (453980352).

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

197777664 is a wasteful number, since it uses less digits than its factorization.

197777664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12292 (or 12275 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 54.

The square root of 197777664 is about 14063.3446946308. The cubic root of 197777664 is about 582.6294249671.

The spelling of 197777664 in words is "one hundred ninety-seven million, seven hundred seventy-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 12263 16128 24526 36789 49052 73578 85841 98104 110367 147156 171682 196208 220734 257523 294312 343364 392416 441468 515046 588624 686728 772569 784832 882936 1030092 1177248 1373456 1545138 1569664 1765872 2060184 2354496 2746912 3090276 3139328 3531744 4120368 4708992 5493824 6180552 7063488 8240736 9417984 10987648 12361104 14126976 16481472 21975296 24722208 28253952 32962944 49444416 65925888 98888832 197777664