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33023201220 = 22325183462229
BaseRepresentation
bin11110110000010101…
…100000111111000100
310011020102222102210200
4132300111200333010
51020112414414340
623100505450500
72246226402402
oct366025407704
9104212872720
1033023201220
1113006810939
1264974a0a30
133163810b69
141853b70472
15cd4252330
hex7b0560fc4

33023201220 has 36 divisors (see below), whose sum is σ = 100170377580. Its totient is φ = 8806186944.

The previous prime is 33023201213. The next prime is 33023201249. The reversal of 33023201220 is 2210232033.

It is a happy number.

33023201220 is a `hidden beast` number, since 330 + 2 + 320 + 12 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5002449984 + 28020751236 = 70728^2 + 167394^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33023201193 and 33023201202.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 91730935 + ... + 91731294.

Almost surely, 233023201220 is an apocalyptic number.

33023201220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33023201220 is an abundant number, since it is smaller than the sum of its proper divisors (67147176360).

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

33023201220 is a wasteful number, since it uses less digits than its factorization.

33023201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183462244 (or 183462239 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33023201220 its reverse (2210232033), we get a palindrome (35233433253).

The spelling of 33023201220 in words is "thirty-three billion, twenty-three million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 183462229 366924458 550386687 733848916 917311145 1100773374 1651160061 1834622290 2201546748 2751933435 3302320122 3669244580 5503866870 6604640244 8255800305 11007733740 16511600610 33023201220