Search a number
-
+
202094208 = 2732315659
BaseRepresentation
bin11000000101110…
…11011010000000
3112002021110010200
430002323122000
5403214003313
632015325200
75002525641
oct1402733200
9462243120
10202094208
11a4093408
1257820800
1332b3b594
141cba96c8
1512b1eb73
hexc0bb680

202094208 has 96 divisors (see below), whose sum is σ = 600412800. Its totient is φ = 65180160.

The previous prime is 202094201. The next prime is 202094209. The reversal of 202094208 is 802490202.

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

It is not an unprimeable number, because it can be changed into a prime (202094201) 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, 32883 + ... + 38541.

It is an arithmetic number, because the mean of its divisors is an integer number (6254300).

Almost surely, 2202094208 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 202094208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300206400).

202094208 is an abundant number, since it is smaller than the sum of its proper divisors (398318592).

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

202094208 is a wasteful number, since it uses less digits than its factorization.

202094208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 202094208 is about 14215.9842430976. The cubic root of 202094208 is about 586.8376315321.

The spelling of 202094208 in words is "two hundred two million, ninety-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5659 5952 8928 11318 11904 16977 17856 22636 33954 35712 45272 50931 67908 90544 101862 135816 175429 181088 203724 271632 350858 362176 407448 526287 543264 701716 724352 814896 1052574 1086528 1403432 1578861 1629792 2105148 2173056 2806864 3157722 3259584 4210296 5613728 6315444 6519168 8420592 11227456 12630888 16841184 22454912 25261776 33682368 50523552 67364736 101047104 202094208