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196662816 = 253573613
BaseRepresentation
bin10111011100011…
…01011000100000
3111201001111200000
423232031120200
5400321202231
631303100000
74605414660
oct1356153040
9451044600
10196662816
11a1013759
1255a41600
133198933c
141c1941a0
15123ea6e6
hexbb8d620

196662816 has 144 divisors (see below), whose sum is σ = 663009984. Its totient is φ = 56173824.

The previous prime is 196662769. The next prime is 196662821. The reversal of 196662816 is 618266691.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52626 + ... + 56238.

It is an arithmetic number, because the mean of its divisors is an integer number (4604236).

Almost surely, 2196662816 is an apocalyptic number.

196662816 is a gapful number since it is divisible by the number (16) 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 196662816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331504992).

196662816 is an abundant number, since it is smaller than the sum of its proper divisors (466347168).

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

196662816 is an equidigital number, since it uses as much as digits as its factorization.

196662816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3625 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 196662816 is about 14023.6520207826. The cubic root of 196662816 is about 581.5326250940.

The spelling of 196662816 in words is "one hundred ninety-six million, six hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3613 3888 4536 6048 6804 7226 7776 9072 10839 13608 14452 18144 21678 25291 27216 28904 32517 43356 50582 54432 57808 65034 75873 86712 97551 101164 115616 130068 151746 173424 195102 202328 227619 260136 292653 303492 346848 390204 404656 455238 520272 585306 606984 682857 780408 809312 877959 910476 1040544 1170612 1213968 1365714 1560816 1755918 1820952 2048571 2341224 2427936 2731428 3121632 3511836 3641904 4097142 4682448 5462856 6145713 7023672 7283808 8194284 9364896 10925712 12291426 14047344 16388568 21851424 24582852 28094688 32777136 49165704 65554272 98331408 196662816