Search a number
-
+
33530453226 = 2334316388591
BaseRepresentation
bin11111001110100100…
…100001110011101010
310012112210110111202000
4133032210201303222
51022132244000401
623223105551430
72264626102254
oct371644416352
9105483414660
1033530453226
1113247080876
1265b9345576
133214934a8a
1418a1292cd4
15d13a4e186
hex7ce921cea

33530453226 has 64 divisors (see below), whose sum is σ = 76713584640. Its totient is φ = 10849794480.

The previous prime is 33530453191. The next prime is 33530453227. The reversal of 33530453226 is 62235403533.

33530453226 is a `hidden beast` number, since 33 + 530 + 45 + 32 + 26 = 666.

It is a super-2 number, since 2×335304532262 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33530453227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334191 + ... + 422781.

It is an arithmetic number, because the mean of its divisors is an integer number (1198649760).

Almost surely, 233530453226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33530453226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38356792320).

33530453226 is an abundant number, since it is smaller than the sum of its proper divisors (43183131414).

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

33530453226 is a wasteful number, since it uses less digits than its factorization.

33530453226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88808 (or 88802 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 33530453226 its reverse (62235403533), we get a palindrome (95765856759).

The spelling of 33530453226 in words is "thirty-three billion, five hundred thirty million, four hundred fifty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 163 258 326 387 489 774 978 1161 1467 2322 2934 4401 7009 8802 14018 21027 42054 63081 88591 126162 177182 189243 265773 378486 531546 797319 1594638 2391957 3809413 4783914 7618826 11428239 14440333 22856478 28880666 34284717 43320999 68569434 86641998 102854151 129962997 205708302 259925994 389888991 620934319 779777982 1241868638 1862802957 3725605914 5588408871 11176817742 16765226613 33530453226