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33230032164 = 22337163269663
BaseRepresentation
bin11110111100101010…
…100000110100100100
310011202212011112112000
4132330222200310210
51021023342012124
623133214525300
72254320420150
oct367452406444
9104685145460
1033230032164
1113102539aaa
126534806830
13319761a434
141873410060
15ce74aa6c9
hex7bcaa0d24

33230032164 has 96 divisors (see below), whose sum is σ = 99063767040. Its totient is φ = 9436012704.

The previous prime is 33230032163. The next prime is 33230032183. The reversal of 33230032164 is 46123003233.

It is a happy number.

33230032164 is a `hidden beast` number, since 3 + 32 + 300 + 321 + 6 + 4 = 666.

It is a super-2 number, since 2×332300321642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (33230032163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11604 + ... + 258059.

It is an arithmetic number, because the mean of its divisors is an integer number (1031914240).

Almost surely, 233230032164 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 33230032164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49531883520).

33230032164 is an abundant number, since it is smaller than the sum of its proper divisors (65833734876).

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

33230032164 is a wasteful number, since it uses less digits than its factorization.

33230032164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269846 (or 269838 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 33230032164 its reverse (46123003233), we get a palindrome (79353035397).

The spelling of 33230032164 in words is "thirty-three billion, two hundred thirty million, thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 163 189 252 326 378 489 652 756 978 1141 1467 1956 2282 2934 3423 4401 4564 5868 6846 8802 10269 13692 17604 20538 30807 41076 61614 123228 269663 539326 808989 1078652 1617978 1887641 2426967 3235956 3775282 4853934 5662923 7280901 7550564 9707868 11325846 14561802 16988769 22651692 29123604 33977538 43955069 50966307 67955076 87910138 101932614 131865207 175820276 203865228 263730414 307685483 395595621 527460828 615370966 791191242 923056449 1186786863 1230741932 1582382484 1846112898 2373573726 2769169347 3692225796 4747147452 5538338694 8307508041 11076677388 16615016082 33230032164