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2234093220 = 2232519016529
BaseRepresentation
bin1000010100101001…
…1000111010100100
312202200211200202100
42011022120322210
514033411440340
61005404212100
7106235323212
oct20512307244
95680750670
102234093220
11a470a6337
1252423a030
13297b0a768
141729d3cb2
15d1203830
hex85298ea4

2234093220 has 72 divisors (see below), whose sum is σ = 6781352760. Its totient is φ = 595353600.

The previous prime is 2234093179. The next prime is 2234093227. The reversal of 2234093220 is 223904322.

2234093220 is a `hidden beast` number, since 223 + 409 + 32 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62346816 + 2171746404 = 7896^2 + 46602^2 .

It is not an unprimeable number, because it can be changed into a prime (2234093227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338916 + ... + 345444.

It is an arithmetic number, because the mean of its divisors is an integer number (94185455).

Almost surely, 22234093220 is an apocalyptic number.

2234093220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234093220 is an abundant number, since it is smaller than the sum of its proper divisors (4547259540).

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

2234093220 is a wasteful number, since it uses less digits than its factorization.

2234093220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445 (or 8440 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2234093220 is about 47266.1953196997. The cubic root of 2234093220 is about 1307.2754242381.

Adding to 2234093220 its reverse (223904322), we get a palindrome (2457997542).

The spelling of 2234093220 in words is "two billion, two hundred thirty-four million, ninety-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1901 3802 5703 6529 7604 9505 11406 13058 17109 19010 19587 22812 26116 28515 32645 34218 38020 39174 57030 58761 65290 68436 78348 85545 97935 114060 117522 130580 171090 195870 235044 293805 342180 391740 587610 1175220 12411629 24823258 37234887 49646516 62058145 74469774 111704661 124116290 148939548 186174435 223409322 248232580 372348870 446818644 558523305 744697740 1117046610 2234093220