Search a number
-
+
163449216 = 2732720269
BaseRepresentation
bin10011011111000…
…00100110000000
3102101120002011200
421233200212000
5313320333331
624115141200
74023203220
oct1157404600
9371502150
10163449216
11842988a7
12468a4800
1327b2a718
14179ca080
15e5395e6
hex9be0980

163449216 has 96 divisors (see below), whose sum is σ = 537560400. Its totient is φ = 46697472.

The previous prime is 163449211. The next prime is 163449227. The reversal of 163449216 is 612944361.

163449216 is a `hidden beast` number, since 1 + 634 + 4 + 9 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1634492162 = 53431292422029312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163449211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2071 + ... + 18198.

Almost surely, 2163449216 is an apocalyptic number.

163449216 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 163449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268780200).

163449216 is an abundant number, since it is smaller than the sum of its proper divisors (374111184).

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

163449216 is a wasteful number, since it uses less digits than its factorization.

163449216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20296 (or 20281 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 163449216 is about 12784.7258867760. The cubic root of 163449216 is about 546.7569102125.

The spelling of 163449216 in words is "one hundred sixty-three million, four hundred forty-nine thousand, two hundred sixteen".

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 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 20269 40538 60807 81076 121614 141883 162152 182421 243228 283766 324304 364842 425649 486456 567532 648608 729684 851298 972912 1135064 1276947 1297216 1459368 1702596 1945824 2270128 2553894 2594432 2918736 3405192 3891648 4540256 5107788 5837472 6810384 7783296 9080512 10215576 11674944 13620768 18161024 20431152 23349888 27241536 40862304 54483072 81724608 163449216