Search a number
-
+
2234105303220 = 223357359204439
BaseRepresentation
bin100000100000101011000…
…011011001000010110100
321220120121122021110011000
4200200223003121002310
5243100421424200340
64430200034043300
7320260132515000
oct40405303310264
97816548243130
102234105303220
1179152a22309a
12300b99419530
131328a161962b
147a1ba301700
153d1aa6a1d30
hex2082b0d90b4

2234105303220 has 384 divisors, whose sum is σ = 8243020800000. Its totient is φ = 501995055744.

The previous prime is 2234105303063. The next prime is 2234105303233. The reversal of 2234105303220 is 223035014322.

2234105303220 is a `hidden beast` number, since 2 + 2 + 34 + 105 + 303 + 220 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10825761 + ... + 11030199.

It is an arithmetic number, because the mean of its divisors is an integer number (21466200000).

Almost surely, 22234105303220 is an apocalyptic number.

2234105303220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234105303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121510400000).

2234105303220 is an abundant number, since it is smaller than the sum of its proper divisors (6008915496780).

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

2234105303220 is a wasteful number, since it uses less digits than its factorization.

2234105303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204537 (or 204515 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 2234105303220 in words is "two trillion, two hundred thirty-four billion, one hundred five million, three hundred three thousand, two hundred twenty".